Details of the Researcher

PHOTO

Masayuki Ohzeki
Section
Graduate School of Information Sciences
Job title
Professor
Degree

  • 博士（理学）（東京工業大学）

  • 修士（理学）（東京工業大学）

e-Rad No.
80447549

Professional Memberships 1

  • 日本物理学会

Research Interests 3

  • 機械学習

  • 量子力学

  • 統計力学、量子力学、機械学習

Research Areas 1

  • Natural sciences / Mathematical physics and basic theory /

Awards 1

  1. 平成28年度文部科学大臣表彰若手科学者賞

    2016/04/12　文部科学省　量子情報理論を拓く有限次元スピングラス理論に関する研究

Papers 80

  1. Free energy equivalence between mean-field models and nonsparsely diluted mean-field models

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical　58　(4)　045004-045004　2025/01/24

    Publisher: IOP Publishing

    DOI： 10.1088/1751-8121/adaab4 　

    ISSN： 1751-8113

    eISSN： 1751-8121

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    Abstract We studied nonsparsely diluted mean-field models that differ from sparsely diluted mean-field models, such as the Viana–Bray model. When the existence probability of each edge follows a Bernoulli distribution, we rigorously prove that the free energy of nonsparsely diluted mean-field models with appropriate parameterization coincides exactly with that of the corresponding mean-field models in ferromagnetic and spin-glass models composed of any discrete spin S in the thermodynamic limit. Our results is a broad generalization of the result of a previous study (Bovier and Gayrard 1993 J. Stat. Phys. 72 643), where the densely diluted mean-field ferromagnetic Ising model (diluted Curie–Weiss model) with appropriate parameterization was analyzed rigorously, and it was proven that its free energy was exactly equivalent to that of the corresponding mean-field model (Curie–Weiss model).

  2. Existence of Long-Range Order in Random-Field Ising Model on Dyson Hierarchical Lattice

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Statistical Physics　192　(2)　2025/01/22

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1007/s10955-025-03399-9 　

    eISSN： 1572-9613

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    Abstract We study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, $$J(r)\sim r^{-\alpha }$$ , with respect to the distance. Without a random field, the Ising model on the Dyson hierarchical lattice has a long-range order at finite low temperatures when $$1<\alpha <2$$ . In this study, for $$1<\alpha <3/2$$ , we rigorously prove that there is a long-range order in the random-field Ising model on the Dyson hierarchical lattice at finite low temperatures, including zero temperature, when the strength of the random field is sufficiently small but nonzero. Our proof is based on Dyson’s method for the case without a random field, and the concentration inequalities in probability theory enable us to evaluate the effect of a random field.

  3. Replica bound for Ising spin glass models in one dimension

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical　58　(1)　015003-015003　2024/12/11

    Publisher: IOP Publishing

    DOI： 10.1088/1751-8121/ad97fb 　

    ISSN： 1751-8113

    eISSN： 1751-8121

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    Abstract The interpolation method is a powerful tool for rigorous analysis of mean-field spin glass models, both with and without dilution. In this study, we show that the interpolation method can be applied to Ising spin glass models in one dimension, such as a one-dimensional chain and a two-leg ladder. In one dimension, the replica symmetric (RS) cavity method is naturally expected to be rigorous for Ising spin glass models. Using the interpolation method, we rigorously prove that the RS cavity method provides lower bounds on the quenched free energies of Ising spin glass models in one dimension at any finite temperature in the thermodynamic limit.

  4. Toward Mean-Field Bound for Critical Temperature on Nishimori Line

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan　93　(10)　2024/10/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.93.104706 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  5. Exact Solution of Free Entropy for Matrix-Valued Geometric Brownian Motion with Non-Commutative Matrices via Replica Method

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan　92　(11)　2023/11/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.92.114001 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  6. Gibbs–Bogoliubov Inequality on the Nishimori Line

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan　92　(8)　2023/08/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.92.084002 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  7. Mean-field theory is exact for Ising spin glass models with Kac potential in non-additive limit on Nishimori line

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical　56　(32)　325003-325003　2023/07/24

    Publisher: IOP Publishing

    DOI： 10.1088/1751-8121/ace6e4 　

    ISSN： 1751-8113

    eISSN： 1751-8121

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    Abstract Recently, Mori (2011 Phys. Rev. E 84 031128) has conjectured that the free energy of Ising spin glass models with the Kac potential in the non-additive limit, such as the power-law potential in the non-additive regime, is exactly equal to that of the Sherrington–Kirkpatrick model in the thermodynamic limit. In this study, we prove that his conjecture is true on the Nishimori line at any temperature in any dimension. One of the key ingredients of the proof is the use of the Gibbs–Bogoliubov inequality on the Nishimori line. We also consider the case in which the probability distribution of the interaction is symmetric, where his conjecture is true at any temperature in one dimension but is an open problem in the low-temperature regime in two or more dimensions.

  8. Threshold theorem in isolated quantum dynamics with stochastic control errors Peer-reviewed

    Manaka Okuyama, Kentaro Ohki, Masayuki Ohzeki

    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences　381　20210412　2022/12/05

    DOI： 10.1098/rsta.2021.0412 　

  9. A Scalable Emulator for Quantum Fourier Transform Using Multiple-FPGAs With High-Bandwidth-Memory

    Hasitha Muthumala Waidyasooriya, Hiroki Oshiyama, Yuya Kurebayashi, Masanori Hariyama, Masayuki Ohzeki

    IEEE Access　1-1　2022

    Publisher: Institute of Electrical and Electronics Engineers ({IEEE})

    DOI： 10.1109/ACCESS.2022.3183993 　

  10. Assessment of image generation by quantum annealer

    Takehito Sato, Masayuki Ohzeki, Kazuyuki Tanaka

    Scientific Reports　11　(1)　2021/12

    Publisher: Springer Science and Business Media LLC

    DOI： 10.1038/s41598-021-92295-9 　

    eISSN： 2045-2322

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    <title>Abstract</title>Quantum annealing was originally proposed as an approach for solving combinatorial optimization problems using quantum effects. D-Wave Systems has released a production model of quantum annealing hardware. However, the inherent noise and various environmental factors in the hardware hamper the determination of optimal solutions. In addition, the freezing effect in regions with weak quantum fluctuations generates outputs approximately following a Gibbs–Boltzmann distribution at an extremely low temperature. Thus, a quantum annealer may also serve as a fast sampler for the Ising spin-glass problem, and several studies have investigated Boltzmann machine learning using a quantum annealer. Previous developments have focused on comparing the performance in the standard distance of the resulting distributions between conventional methods in classical computers and sampling by a quantum annealer. In this study, we focused on the performance of a quantum annealer as a generative model from a different aspect. To evaluate its performance, we prepared a discriminator given by a neural network trained on an a priori dataset. The evaluation results show a higher performance of quantum annealer compared with the classical approach for Boltzmann machine learning in training of the generative model. However the generation of the data suffers from the remanent quantum fluctuation in the quantum annealer. The quality of the generated images from the quantum annealer gets worse than the ideal case of the quantum annealing and the classical Monte-Carlo sampling.

  11. Teacher-Student Learning for a Binary Perceptron with Quantum Fluctuations

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　90　(7)　074002-074002　2021/07/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.90.074002 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  12. Mean field analysis of reverse annealing for code-division multiple-access multiuser detection

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Physical Review Research　3　(3)　2021/07/02

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physrevresearch.3.033006 　

    eISSN： 2643-1564

  13. Benchmark Test of Black-box Optimization Using D-Wave Quantum Annealer

    Ami S. Koshikawa, Masayuki Ohzeki, Tadashi Kadowaki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　90　(6)　064001-064001　2021/06/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.90.064001 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  14. Efficient Quantum and Simulated Annealing of Potts Models Using a Half-hot Constraint

    Shuntaro Okada, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　89　(9)　094801-094801　2020/09/15

    Publisher: Japan Society of Applied Physics

    DOI： 10.7566/jpsj.89.094801 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  15. Simple relation between frustration and transition points in diluted spin glasses

    Ryoji Miyazaki, Yuta Kudo, Masayuki Ohzeki, Kazuyuki Tanaka

    Physical Review E　102　(1)　2020/07/15

    Publisher: American Physical Society (APS)

    DOI： 10.1103/physreve.102.012135 　

    ISSN： 2470-0045

    eISSN： 2470-0053

  16. Inequality for Local Energy of Ising Model with Quenched Randomness and Its Application

    Manaka Okuyama, Masayuki Ohzeki

    Journal of the Physical Society of Japan　89　(6)　064704-064704　2020/06/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.89.064704 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  17. A note on the reconstruction of a 3D-3C velocity field for box turbulence

    Eiichi Sasaki, Masayuki Ohzeki

    Journal of Physics: Conference Series　1522　(1)　2020/06/10

    Publisher: Institute of Physics Publishing

    DOI： 10.1088/1742-6596/1522/1/012023 　

    ISSN： 1742-6596 1742-6588

  18. Sparse Modeling in Quantum Many-Body Problems Invited Peer-reviewed

    Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, Kazuyoshi Yoshimi

    Journal of the Physical Society of Japan　89　(1)　012001-012001　2020/01/15

    Publisher: Physical Society of Japan

    DOI： 10.7566/jpsj.89.012001 　

    ISSN： 0031-9015

    eISSN： 1347-4073

  19. Fair sampling by simulated annealing on quantum annealer

    Masayuki Yamamoto, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　89　(2)　2020

    Publisher: Physical Society of Japan

    DOI： 10.7566/JPSJ.89.025002 　

    ISSN： 1347-4073 0031-9015

  20. Efficient partition of integer optimization problems with one-hot encoding

    Shuntaro Okada, Masayuki Ohzeki, Shinichiro Taguchi

    Scientific Reports　9　(1)　2019/12/01

    Publisher: Nature Publishing Group

    DOI： 10.1038/s41598-019-49539-6 　

    ISSN： 2045-2322

  21. Improving solutions by embedding larger subproblems in a D-Wave quantum annealer

    Shuntaro Okada, Masayuki Ohzeki, Masayoshi Terabe, Shinichiro Taguchi

    Scientific Reports　9　(1)　2019/12/01

    Publisher: Nature Publishing Group

    DOI： 10.1038/s41598-018-38388-4 　

    ISSN： 2045-2322

  22. Control of Automated Guided Vehicles Without Collision by Quantum Annealer and Digital Devices Peer-reviewed

    Masayuki Ohzeki, Akira Miki, Masamichi J. Miyama, Masayoshi Terabe

    Frontiers in Computer Science　1　2019/11/19

    Publisher: Frontiers Media SA

    DOI： 10.3389/fcomp.2019.00009 　

    eISSN： 2624-9898

  23. OpenCL-based design of an FPGA accelerator for quantum annealing simulation

    Hasitha Muthumala Waidyasooriya, Masanori Hariyama, Masamichi J. Miyama, Masayuki Ohzeki

    JOURNAL OF SUPERCOMPUTING　75　(8)　5019-5039　2019/08

    DOI： 10.1007/s11227-019-02778-w 　

    ISSN： 0920-8542

    eISSN： 1573-0484

  24. Dynamics of order parameters of nonstoquastic Hamiltonians in the adaptive quantum Monte Carlo method

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Physical Review E　99　(3)　2019/03/14

    Publisher: American Physical Society

    DOI： 10.1103/PhysRevE.99.032120 　

    ISSN： 2470-0053 2470-0045

  25. Difference between quantum annealing by imaginary-time and real-time Schrödinger equations of Grover’s search Peer-reviewed

    Shuntaro Okada, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　88　(2)　024803-1-024803-6　2019/02

    DOI： 10.7566/JPSJ.88.024803 　

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    We confirmed the annealing time required to obtain the desired success probability for quantum annealing by the<br /> imaginary-time and real-time Schrödinger equations of Grover’s search, with two kinds of schedulings; one linearly<br /> decreases the quantum fluctuation and the other tunes the evolution rate of the Hamiltonian on the basis of the adiabatic<br /> condition. With linear scheduling, the required annealing time for quantum annealing by the imaginary-time Schrödinger<br /> equation is of order ${\rm{log } }(N)$, which is very different from ${\cal{O } }(N)$ required for that by the real-time Schrödinger equation.<br /> With the scheduling based on the adiabatic condition, the required annealing time is of order<br /> ${\sqrt{N } }$, which is identical to<br /> that by the real-time Schrödinger equation. Although the scheduling based on the adiabatic condition is optimal for the<br /> quantum annealing by the real-time Schrödinger equation, it is inefficient for that by the imaginary-time Schrödinger<br /> equation. This result implies that the optimal schedulings for the quantum annealing by the imaginary-time and real-time<br /> Schrödinger equations differ greatly, and the efficient scheduling considered with the quantum Monte Carlo method,<br /> which is based on the imaginary-time Schrödinger equation, is not necessarily effective in improving the performance of<br /> quantum annealing by the real-time Schrödinger equation. We discuss the efficient scheduling for quantum annealing by<br /> the imaginary-time Schrödinger equation with respect to the exponential decay of excited states.

  26. Phase diagrams of one-dimensional Ising and XY models with fully connected ferromagnetic and anti-ferromagnetic quantum fluctuations Peer-reviewed

    Shuntaro Okada, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　88　(2)　024802-1-024802-6　2019/02

    DOI： 10.7566/JPSJ.88.024802 　

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    We analytically investigated the phase diagrams of one-dimensional Ising and XY models. A second-order phase<br /> transition occurs in both models only with the transverse magnetic field. In this study, the fully connected ferromagnetic<br /> and anti-ferromagnetic XX interactions are applied in addition to the transverse magnetic field. The ferromagnetic XX<br /> interaction causes a first-order phase transition in both of the one-dimensional Ising and XY models. In contrast, by<br /> applying the anti-ferromagnetic one, the second-order phase transition can be avoided in the one-dimensional Ising<br /> model, and the critical amplitude becomes smaller in the one-dimensional XY model even though the second-order<br /> phase transition remains and the critical exponent does not change. Because the anti-ferromagnetic XX interaction works<br /> to destroy the order of the transverse magnetization, it begins to decrease at a larger strength of the transverse magnetic<br /> field. As a result, the susceptibility of the transverse magnetization with respect to the strength of the magnetic field<br /> becomes small. It is conjectured that the anti-ferromagnetic XX interaction is generally preferable to the ferromagnetic<br /> interaction to improve the performance of quantum annealing.

  27. SpM: Sparse modeling tool for analytic continuation of imaginary-time Green's function Peer-reviewed

    Yoshimi K, Otsuki J, Motoyama Y, Ohzeki M, Shinaoka H

    Computer Physics Communications　244　319-323　2019

    DOI： 10.1016/j.cpc.2019.07.001 　

    ISSN： 0010-4655

  28. Optimization of neural networks via finite-value quantum fluctuations

    Masayuki Ohzeki, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi

    Scientific Reports　8　(1)　2018/12/01

    Publisher: Nature Publishing Group

    DOI： 10.1038/s41598-018-28212-4 　

    ISSN： 2045-2322

  29. Quantum annealing: next-generation computation and how to implement it when information is missing Peer-reviewed

    Masayuki Ohzeki, Chako Takahashi, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi, Kazuyuki Tanaka

    IEICE, Nonlinear Theory and Its Applications　9　(4)　392-405　2018/10

    DOI： 10.1587/nolta.9.392 　

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    Recently, several powerful machines dedicated to solving combinatorial optimization problems through the Ising-model formulation have appeared. The trigger for the paradigm shift to a specialized machine for solving optimization problems was the D-Wave machine, which implements quantum annealing. Quantum annealing employs quantum fluctuations to find an optimal solution to an optimization problem with discrete variables. In particular, we input the optimization problem in the form of the Ising Hamiltonian, which is a specialized form of the quadratic unconstrained binary optimization problem. However, when we employ quantum annealing for a practical optimization problem, there are several issues. One typical issue is absence of the detailed form of the cost function, which characterizes the optimization problem. To input problems into specialized machines for solving an optimization problem, it is necessary to determine the unknown parameters within the Ising model. We propose a method to estimate the unknown parameters in the Ising Hamiltonian using compressed sensing. Furthermore, we analyze the theoretical limitations of our proposed method by employing the replica method, which is a sophisticated tool in statistical mechanics.

  30. Momentum-space renormalization group transformation in Bayesian image modeling by Gaussian graphical model Peer-reviewed

    Kazuyuki Tanaka, Masamichi Nakamura, Shun Kataoka, Masayuki Ohzeki, Muneki Yasuda

    Journal of the Physical Society of Japan　87　(8)　085001-1-085001-2　2018/08

    DOI： 10.7566/JPSJ.87.085001 　

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    A new Bayesian modeling method is proposed by combining the maximization of the marginal likelihood with a momentum-space renormalization group transformation for Gaussian graphical models. Moreover, we present a scheme for computing the statistical averages of hyperparameters and mean square errors in our proposed method based on a momentum-space renormalization group transformation.

  31. 量子アニーリングによる組合せ最適化 Peer-reviewed

    大関 真之

    オペレーションズ・リサーチ　Vol.63　1-9　2018/06

  32. Overcomplete compact representation of two-particle Green's functions Peer-reviewed

    Hiroshi Shinaoka, Junya Otsuki, Kristjan Haule, Markus Wallerberger, Emanuel Gull, Kazuyoshi Yoshimi, Masayuki Ohzeki

    Physical Review B　97　(20)　1-14　2018/05/09

    Publisher: American Physical Society

    DOI： 10.1103/PhysRevB.97.205111 　

    ISSN： 2469-9969 2469-9950

    eISSN： 2469-9969

  33. Quantum Speed Limit is Not Quantum Peer-reviewed

    Manaka Okuyama, Masayuki Ohzeki

    Physical Review Letters　120　(7)　1-5　2018/02/12

    Publisher: American Physical Society

    DOI： 10.1103/PhysRevLett.120.070402 　

    ISSN： 1079-7114 0031-9007

  34. Statistical-mechanical analysis of compressed sensing for hamiltonian estimation of ising spin glass Peer-reviewed

    Chako Takahashi, Masayuki Ohzeki, Shuntaro Okada, Masayoshi Terabe, Shinichiro Taguchi, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　87　(7)　074001-1-074001-7　2018

    Publisher: Physical Society of Japan

    DOI： 10.7566/JPSJ.87.074001 　

    ISSN： 1347-4073 0031-9015

  35. An Extension of Estimation of Critical Points in Ground State for Random Spin Systems Peer-reviewed

    Masayuki Ohzeki, Yuta Kudo, Kazuyuki Tanaka

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　87　(1)　015001-015001　2018/01

    DOI： 10.7566/JPSJ.87.015001 　

    ISSN： 0031-9015

  36. Deep neural network detects quantum phase transition Peer-reviewed

    Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka

    Journal of the Physical Society of Japan　87　(3)　033001-033001　2018

    Publisher: Physical Society of Japan

    DOI： 10.7566/JPSJ.87.033001 　

    ISSN： 1347-4073 0031-9015

  37. Machine learningの医学研究領域への利用 現代の魔法は本物か？ ディープラーニング入門 Peer-reviewed

    大関 真之

    INNERVISION　(9月号)　50-53　2017/08

  38. Compressing Green's function using intermediate representation between imaginary- ime and real-frequency domains Peer-reviewed

    Hiroshi Shinaoka, Junya Otsuki, Masayuki Ohzeki, Kazuyoshi Yoshimi

    PHYSICAL REVIEW B　96　(3)　035147-8　2017/07

    DOI： 10.1103/PhysRevB.96.035147 　

    ISSN： 2469-9950

    eISSN： 2469-9969

  39. Sparse modeling approach to analytical continuation of imaginary-time quantum Monte Carlo data Peer-reviewed

    Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, Kazuyoshi Yoshimi

    PHYSICAL REVIEW E　95　(6)　1-6　2017/06

    DOI： 10.1103/PhysRevE.95.061302 　

    ISSN： 2470-0045

    eISSN： 2470-0053

  40. Quantum Monte Carlo simulation of a particular class of non-stoquastic Hamiltonians in quantum annealing Peer-reviewed

    Masayuki Ohzeki

    SCIENTIFIC REPORTS　7　41186-41186　2017/01

    DOI： 10.1038/srep41186 　

    ISSN： 2045-2322

  41. Statistical Mechanical Models of Integer Factorization Problem Peer-reviewed

    Chihiro H. Nakajima, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　86　(1)　014001-014001　2017/01

    DOI： 10.7566/JPSJ.86.014001 　

    ISSN： 0031-9015

  42. Optimization problem in machine learning and possible application of quantum annealing

    Ohzeki Masayuki

    Meeting Abstracts of the Physical Society of Japan　71　1197-1198　2016

    Publisher: The Physical Society of Japan

    DOI： 10.11316/jpsgaiyo.71.2.0_1197 　

  43. Acceleration of relaxation for XY-machines using violation of detailed balance condition

    Ichiki Akihisa, Ohzeki Masayuki, Ohki Kentaro

    Meeting Abstracts of the Physical Society of Japan　71　499-499　2016

    Publisher: The Physical Society of Japan

    DOI： 10.11316/jpsgaiyo.71.2.0_499 　

  44. Stochastic gradient method with accelerated stochastic dynamics Peer-reviewed

    Masayuki Ohzeki

    INTERNATIONAL MEETING ON HIGH-DIMENSIONAL DATA-DRIVEN SCIENCE (HD3-2015)　699　2016

    DOI： 10.1088/1742-6596/699/1/012019 　

    ISSN： 1742-6588

  45. Full-order fluctuation-dissipation relation for a class of nonequilibrium steady states Peer-reviewed

    Akihisa Ichiki, Masayuki Ohzeki

    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics　91　(6)　2015/06/05

    Publisher: American Physical Society

    DOI： 10.1103/PhysRevE.91.062105 　

    ISSN： 1550-2376 1539-3755

  46. Inverse Renormalization Group Transformation in Bayesian Image Segmentations Peer-reviewed

    Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(4)　2015/04

    DOI： 10.7566/JPSJ.84.045001 　

    ISSN： 0031-9015

  47. 17pPSA-48 A convergence rate analysis of the continuous time replica exchange

    Ohki K., Ohzeki M.

    Meeting Abstracts of the Physical Society of Japan　70　2700-2700　2015

    Publisher: The Physical Society of Japan (JPS)

    DOI： 10.11316/jpsgaiyo.70.2.0_2700 　

    ISSN： 2189-079X

  48. Mathematical understanding of detailed balance condition violation and its application to Langevin dynamics Peer-reviewed

    Masayuki Ohzeki

    STATPHYS-KOLKATA VIII　638　2015

    DOI： 10.1088/1742-6596/638/1/012003 　

    ISSN： 1742-6588

  49. L1-regularized Boltzmann machine learning using majorizer minimization. Peer-reviewed

    Masayuki Ohzeki

    CoRR　abs/1503.03132　2015

  50. Statistical-mechanical analysis of pre-training and fine tuning in deep learning. Peer-reviewed

    Masayuki Ohzeki

    CoRR　abs/1501.04413　2015

  51. Detection of cheating by decimation algorithm. Peer-reviewed

    Shogo Yamanaka, Masayuki Ohzeki, Aurelien Decelle

    CoRR　abs/1410.3596　2014

  52. Violation of detailed balance accelerates relaxation Peer-reviewed

    Akihisa Ichiki, Masayuki Ohzeki

    PHYSICAL REVIEW E　88　(2)　2013/08

    DOI： 10.1103/PhysRevE.88.020101 　

    ISSN： 1539-3755

  53. Nonequilibrium work relation in a macroscopic system Peer-reviewed

    Yuki Sughiyama, Masayuki Ohzeki

    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT　2013　(4)　2013/04

    DOI： 10.1088/1742-5468/2013/04/P04012 　

    ISSN： 1742-5468

  54. Measurement-based quantum computation on symmetry breaking thermal states Peer-reviewed

    Keisuke Fujii, Yoshifumi Nakata, Masayuki Ohzeki, Mio Murao

    Physical Review Letters　110　(12)　2013/03/21

    DOI： 10.1103/PhysRevLett.110.120502 　

    ISSN： 0031-9007 1079-7114

  55. Duality with real-space renormalization and its application to bond percolation Peer-reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E　87　(1)　2013/01

    DOI： 10.1103/PhysRevE.87.012137 　

    ISSN： 1539-3755

  56. Fluctuation theorems on the Nishimori line Peer-reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E　86　(6)　2012/12

    DOI： 10.1103/PhysRevE.86.061110 　

    ISSN： 1539-3755

    eISSN： 1550-2376

  57. Duality analysis on random planar lattices Peer-reviewed

    Masayuki Ohzeki, Keisuke Fujii

    PHYSICAL REVIEW E　86　(5)　2012/11

    DOI： 10.1103/PhysRevE.86.051121 　

    ISSN： 1539-3755

  58. Error threshold estimations in surface code with loss of qubits Peer-reviewed

    Masayuki Ohzeki

    Phys. Rev. A 85, 060301(R) (2012).　2012/06/11

    DOI： 10.1103/PhysRevA.85.060301 　

  59. Error threshold estimates for surface code with loss of qubits Peer-reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW A　85　(6)　2012/06

    DOI： 10.1103/PhysRevA.85.060301 　

    ISSN： 1050-2947

  60. Strong Resilience of Topological Codes to Depolarization Peer-reviewed

    H. Bombin, Ruben S. Andrist, Masayuki Ohzeki, Helmut G. Katzgraber, M. A. Martin-Delgado

    PHYSICAL REVIEW X　2　(2)　2012/04

    DOI： 10.1103/PhysRevX.2.021004 　

    ISSN： 2160-3308

  61. Nonequilibrium Work on Spin Glasses in Longitudinal and Transverse Fields Peer-reviewed

    Masayuki Ohzeki, Hitoshi Katsuda, Hidetoshi Nishimori

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　80　(8)　2011/08

    DOI： 10.1143/JPSJ.80.084002 　

    ISSN： 0031-9015

  62. Quantum Annealing: An Introduction and New Developments Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE　8　(6)　963-971　2011/06

    DOI： 10.1166/jctn.2011.1776 　

    ISSN： 1546-1955

  63. Jarzynski Equality for an Energy-Controlled System Peer-reviewed

    Hitoshi Katsuda, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　80　(4)　2011/04

    DOI： 10.1143/JPSJ.80.045003 　

    ISSN： 0031-9015

  64. Universality in phase boundary slopes for spin glasses on self-dual lattices Peer-reviewed

    Masayuki Ohzeki, Creighton K. Thomas, Helmut G. Katzgraber, H. Bombin, M. A. Martin-Delgado

    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT　2011/02

    DOI： 10.1088/1742-5468/2011/02/P02004 　

    ISSN： 1742-5468

  65. Nonequilibrium relations in spin glasses Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES　43　(3)　782-785　2011/01

    DOI： 10.1016/j.physe.2010.07.051 　

    ISSN： 1386-9477

  66. Extended Jarzynski equality in general Langevin system Peer-reviewed

    Yuki Sughiyama, Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES　43　(3)　790-793　2011/01

    DOI： 10.1016/j.physe.2010.07.053 　

    ISSN： 1386-9477

  67. Zero-temperature complex replica zeros of the +/- J Ising spin glass on mean-field systems and beyond Peer-reviewed

    Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori, Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES　43　(3)　786-789　2011/01

    DOI： 10.1016/j.physe.2010.07.052 　

    ISSN： 1386-9477

  68. Quantum annealing with Jarzynski equality Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    COMPUTER PHYSICS COMMUNICATIONS　182　(1)　257-259　2011/01

    DOI： 10.1016/j.cpc.2010.07.008 　

    ISSN： 0010-4655

  69. Jarzynski Equality for an Energy-Controlled System Peer-reviewed

    Hitoshi Katsuda, Masayuki Ohzeki

    INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11)　302　(4)　45003-045003-2　2011

    DOI： 10.1088/1742-6596/302/1/012048 　

    ISSN： 1742-6588

  70. Multicritical point of spin glasses Peer-reviewed

    Hidetoshi Nishimori, Masayuki Ohzeki

    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS　389　(15)　2907-2910　2010/08

    DOI： 10.1016/j.physa.2010.01.025 　

    ISSN： 0378-4371

  71. Nonequilibrium Relations for Spin Glasses with Gauge Symmetry Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　79　(8)　2010/08

    DOI： 10.1143/JPSJ.79.084003 　

    ISSN： 0031-9015

  72. Quantum Annealing with the Jarzynski Equality Peer-reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW LETTERS　105　(5)　2010/07

    DOI： 10.1103/PhysRevLett.105.050401 　

    ISSN： 0031-9007

  73. Analytical evidence for the absence of spin glass transition on self-dual lattices Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL　42　(33)　2009/08

    DOI： 10.1088/1751-8113/42/33/332001 　

    ISSN： 1751-8113

    eISSN： 1751-8121

  74. Accuracy thresholds of topological color codes on the hexagonal and square-octagonal lattices Peer-reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E　80　(1)　2009/07

    DOI： 10.1103/PhysRevE.80.011141 　

    ISSN： 1539-3755

  75. Locations of multicritical points for spin glasses on regular lattices Peer-reviewed

    Masayuki Ohzeki

    PHYSICAL REVIEW E　79　(2)　2009/02

    DOI： 10.1103/PhysRevE.79.021129 　

    ISSN： 1539-3755

  76. Multicritical points for spin-glass models on hierarchical lattices Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori, A. Nihat Berker

    PHYSICAL REVIEW E　77　(6)　2008/06

    DOI： 10.1103/PhysRevE.77.061116 　

    ISSN： 1539-3755

  77. Multicritical points of the Potts spin glasses on the triangular lattice Peer-reviewed

    Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES　40　(2)　394-397　2007/12

    DOI： 10.1016/j.physe.2007.06.040 　

    ISSN： 1386-9477

  78. Multicritical points of Potts spin glasses on the triangular lattice Peer-reviewed

    Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　76　(11)　2007/11

    DOI： 10.1143/JPSJ.76.114003 　

    ISSN： 0031-9015

  79. Internal energy of the Potts model on the triangular lattice with two- and three-body interactions Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　75　(11)　2006/11

    DOI： 10.1143/JPSJ.75.114003 　

    ISSN： 0031-9015

  80. Location of the multicritical point for the Ising spin glass on the triangular and hexagonal lattices Peer-reviewed

    H Nishimori, M Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　75　(3)　2006/03

    DOI： 10.1143/JPSJ.75.034004 　

    ISSN： 0031-9015

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Misc. 49

  1. Comment on 'Energy-time uncertainty relation for driven quantum systems'

    Manaka Okuyama, Masayuki Ohzeki

    Journal of Physics A: Mathematical and Theoretical　51　(31)　2018/06/28

    Publisher: Institute of Physics Publishing

    DOI： 10.1088/1751-8121/aacb90 　

    ISSN： 1751-8121 1751-8113

  2. International Meeting on "high-Dimensional Data-Driven Science" (HD3-2017)

    Masayuki Ohzeki, Teppei Ikeya, Tatsu Kuwatani, Yoshinori Nakanishi-Ohno, Masamichi J. Miyama, Tomoyuki Obuchi

    Journal of Physics: Conference Series　1036　2018/06/27

    DOI： 10.1088/1742-6596/1036/1/011001 　

    ISSN： 1742-6588

  3. 最大エントロピー法でいいの？―スパースモデリングの量子多体論への応用―

    大槻純也, 大関真之, 品岡寛, 吉見 一慶

    固体物理　53　(4)　173-188　2018/04

  4. ニューラルネットワークによる様々な相転移の検出

    荒井俊太, 大関真之, 片岡駿, 田中和之

    日本物理学会講演概要集(CD-ROM)　72　(2)　2017

    ISSN： 2189-079X

  5. New frontier of machine learning and computation initiated by quantum annealing

    116　(381)　15-22　2016/12/21

    Publisher: 電子情報通信学会

    ISSN： 0913-5685

  6. Full-order fluctuation-dissipation relation for a class of nonequilibrium steady states

    Akihisa Ichiki, Masayuki Ohzeki

    PHYSICAL REVIEW E　91　(6)　2015/06

    DOI： 10.1103/PhysRevE.91.062105 　

    ISSN： 2470-0045

    eISSN： 2470-0053

  7. New Horizon of Quantum Annealing

    大関 真之

    システム制御情報学会研究発表講演会講演論文集　59　4p　2015/05/20

    Publisher: システム制御情報学会

  8. L-1-Regularized Boltzmann Machine Learning Using Majorizer Minimization

    Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(5)　2015/05

    DOI： 10.7566/JPSJ.84.054801 　

    ISSN： 0031-9015

  9. Inverse Renormalization Group Transformation in Bayesian Image Segmentations

    Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda, Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(4)　2015/04

    DOI： 10.7566/JPSJ.84.045001 　

    ISSN： 0031-9015

  10. Detection of cheating in Boltzmann machine learning : A parameter-free algorithm to sparse solution

    大関 真之

    電子情報通信学会技術研究報告 = IEICE technical report : 信学技報　114　(502)　1-8　2015/03/05

    Publisher: 電子情報通信学会

    ISSN： 0913-5685

    More details Close

    We generalize a mathematical model in the item response theory into that in the Boltzmann machine learning to detect "cheating students". The cheating students are hopefully expected to be rare under normal condition holding tests. (We strongly hope!) In other words, the cheating students are expected to be sparse. In the present study, we employ a greedy algorithm, the decimation algorithm, which is free from the arbitrary coefficient. We confirmed that, when the sparseness is strong, the decimation algorithm outperforms the L1 regularization and establish a basic technique to detect the cheating students.

  11. Statistical-Mechanical Analysis of Pre-training and Fine Tuning in Deep Learning

    Masayuki Ohzeki

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(3)　2015/03

    DOI： 10.7566/JPSJ.84.034003 　

    ISSN： 0031-9015

  12. High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials

    Masayuki Ohzeki, Jesper Lykke Jacobsen

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL　48　(9)　2015/03

    DOI： 10.1088/1751-8113/48/9/095001 　

    ISSN： 1751-8113

    eISSN： 1751-8121

  13. Detection of Cheating by Decimation Algorithm

    Shogo Yamanaka, Masayuki Ohzeki, Aurelien Decelle

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN　84　(2)　2015/02

    DOI： 10.7566/JPSJ.84.024801 　

    ISSN： 0031-9015

  14. Hysteretic transition of coarse-grained power grid model on small-world network

    Eiichi Sasaki, Masayuki Ohzeki, Yoshito Ohta

    2015/01/28

    More details Close

    We study synchronous phenomena of a coarse-grained power grid model, the<br /> swing equation, on small-world networks. We show that its steady state, which<br /> stands for the normal operation of the power systems, can be realized even if<br /> the phases are disordered. In addition, we prove the linear stability of steady<br /> state with small-different phases between the adjacent oscillators. On the<br /> other hand, a trigger of instantaneous power failure, which is described by the<br /> hysteretic transition, might disappear on an appropriate small-world network.<br /> This result suggests that the small-world connection would potentially prevent<br /> the massive blackouts.

  15. 7pAR-3 Reconstruction of the 3D structure of gold nano clusters using sparsity

    Nakajima C., Ohzeki M., Liu Pan, Hirata A., Nakamura T.

    Meeting abstracts of the Physical Society of Japan　69　(2)　123-123　2014/08/22

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  16. 29pAR-14 Synchronization of the Swing equation on a Watts and Strogatz network

    Sasaki Eiichi, Ohzeki Masayuki, Ohta Yoshito

    Meeting abstracts of the Physical Society of Japan　69　(1)　353-353　2014/03/05

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  17. 29pBD-7 Detailed Balance Violation and Formal Expression of Linear Response Functions

    Ichiki Akihisa, Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan　69　(1)　355-355　2014/03/05

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  18. Your Root in the Ground to the Future(La Toccata)

    Ohzeki Masayuki

    日本物理學會誌　68　(9)　630-631　2013/09/05

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 0029-0181

  19. Relation between Violation of Detailed Balance and Relaxation Speed

    Ichiki Akihisa, Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan　68　(2)　294-294　2013/08/26

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  20. Variational Principle in Langevin Processes

    Yuki Sughiyama, Masayuki Ohzeki

    Interdisciplinary information sciences　19　93-99　2013/07/23

    Publisher: Tohoku University

    DOI： 10.4036/iis.2013.93 　

    ISSN： 1340-9050

    More details Close

    The recent work, Nemoto and Sasa [Phys. Rev. E, 83: 030105(R) (2011)], has<br /> shown that large deviations of the current characterizing a nonequilibrium<br /> system are obtained by observing the typical current for a modified system<br /> specified by a variational principle. In the present study, we will give a<br /> generalized version of the Nemoto-Sasa study by extracting a hidden<br /> mathematical structure from the fluctuation-response relation which is<br /> well-known in statistical mechanics. Here, the minimization of the<br /> Kullback-Leibler divergence plays an essential role.

  21. Langevin dynamics neglecting detailed balance condition

    Masayuki Ohzeki, Akihisa Ichiki

    2013/07/02

    More details Close

    An improved method for driving a system into a desired distribution, for<br /> example, the Gibbs-Boltzmann distribution, is proposed, which makes use of an<br /> artificial relaxation process. The standard techniques for achieving the<br /> Gibbs-Boltzmann distribution involve numerical simulations under the detailed<br /> balance condition. In contrast, in the present study we formulate the Langevin<br /> dynamics, for which the corresponding Fokker-Planck operator includes an<br /> asymmetric component violating the detailed balance condition. This leads to<br /> shifts in the eigenvalues and results in the acceleration of the relaxation<br /> toward the steady state. The numerical implementation demonstrates faster<br /> convergence and shorter correlation time, and the technique of biased event<br /> sampling, Nemoto-Sasa theory, further highlights the efficacy of our method.

  22. A challenge for critical point of spin glass in ground state

    Masayuki Ohzeki

    Interdisciplinary information sciences　19　65-71　2013/05/20

    Publisher: Tohoku University

    DOI： 10.4036/iis.2013.65 　

    ISSN： 1340-9050

    More details Close

    We show several calculations to identify the critical point in the ground<br /> state in random spin systems including spin glasses on the basis of the duality<br /> analysis. The duality analysis is a profound method to obtain the precise<br /> location of the critical point in finite temperature even for spin glasses. We<br /> propose a single equality for identifying the critical point in the ground<br /> state from several speculations. The equality can indeed give the exact<br /> location of the critical points for the bond-dilution Ising model on several<br /> lattices and provides insight on further analysis on the ground state in spin<br /> glasses.

  23. Belief propagation with multipoint correlations and its application to inverse problem Peer-reviewed

    Masayuki Ohzeki

    ELC INTERNATIONAL MEETING ON INFERENCE, COMPUTATION, AND SPIN GLASSES (ICSG2013)　473　(1)　2013

    DOI： 10.1088/1742-6596/473/1/012005 　

    ISSN： 1742-6588

  24. 19aAC-5 Phase boundary of spin glass on random planar lattice

    Ohzeki Masayuki, Fujii Keisuke

    Meeting abstracts of the Physical Society of Japan　67　(2)　242-242　2012/08/24

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  25. Spin Glass: A Bridge between quantum computation and statistical mechanics

    Masayuki Ohzeki

    2012/04/13

    More details Close

    We show two fascinating topics lying between quantum information processing<br /> and statistical mechanics. First, we introduce an elaborated technique, the<br /> surface code, to prepare the particular quantum state with robustness against<br /> decoherence. Second, we show another interesting technique to employ quantum<br /> nature, quantum annealing. Through both of the topics, we would shed light on<br /> the birth of the interdisciplinary field between quantum mechanics and<br /> statistical mechanics.

  26. 25aBD-2 Theory of Spin glass

    Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan　67　(1)　314-314　2012/03/05

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  27. Quantum Annealing

    OHZEKI Masayuki, NISHIMORI Hidetoshi

    Butsuri　66　(4)　252-258　2011/04/05

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 0029-0181

    More details Close

    Quantum annealing is a generic algorithm intended for solving optimization problems by using quantum fluctuations. This algorithm can be regarded as a generic technique in quantum computation. Quantum annealing is very simple and yet applicable in principle to any optimization problems. It is also closely related to quantum adiabatic algorithm. In this article, we elucidate the current status and present a future outlook for quantum annealing.

  28. 25aTE-5 Nonequilibrium relations for spin glasses in magnetic fields

    Katsuda Hitoshi, Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　66　(1)　282-282　2011/03/03

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  29. 25aTE-4 Population annealing based on a non-equilibrium relation

    Hukushima K., Ohzeki M.

    Meeting abstracts of the Physical Society of Japan　66　(1)　281-281　2011/03/03

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  30. 28aTD-7 Critical Phenomena in random-field Ising model and high dimensional interference channel

    Ohzeki Masayuki, Tanaka Toshiyuki

    Meeting abstracts of the Physical Society of Japan　66　(1)　342-342　2011/03/03

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  31. Nonequilibrium relations in spin glasses Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES　43　(3)　782-785　2011/01

    DOI： 10.1016/j.physe.2010.07.051 　

    ISSN： 1386-9477

  32. Zero-temperature complex replica zeros of the +/- J Ising spin glass on mean-field systems and beyond Peer-reviewed

    Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori, Masayuki Ohzeki

    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES　43　(3)　786-789　2011/01

    DOI： 10.1016/j.physe.2010.07.052 　

    ISSN： 1386-9477

  33. Jarzynski Equality for an Energy-Controlled System Peer-reviewed

    Hitoshi Katsuda, Masayuki Ohzeki

    INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11)　302　(1)　2011

    DOI： 10.1088/1742-6596/302/1/012048 　

    ISSN： 1742-6588

  34. Nonequilibrium work performed in quantum annealing Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11)　302　(1)　2011

    DOI： 10.1088/1742-6596/302/1/012047 　

    ISSN： 1742-6588

  35. Quantum annealing with Jarzynski equality Peer-reviewed

    Masayuki Ohzeki, Hidetoshi Nishimori

    COMPUTER PHYSICS COMMUNICATIONS　182　(1)　257-259　2011/01

    DOI： 10.1016/j.cpc.2010.07.008 　

    ISSN： 0010-4655

  36. 25pTD-4 Phase transition in magnetic recording read-out

    Ohzeki Masayuki, Tanaka Toshiyuki

    Meeting abstracts of the Physical Society of Japan　65　(2)　281-281　2010/08/18

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  37. 23pTH-3 Jarzynski equality for spin glasses with gauge symmetry

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　65　(2)　224-224　2010/08/18

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  38. 23pTH-4 Real space renormalization analysis of transverse field Blume-Emery-Griffiths model

    Osanai Atsuki, Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　65　(2)　224-224　2010/08/18

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  39. 23aEH-1 Relevance of quenched randomness from duality analysis

    Ohzeki Masayuki, Katzgraber Helmut G., Bombin Hector, Martin Delgado Miguel Angel

    Meeting abstracts of the Physical Society of Japan　65　(1)　345-345　2010/03/01

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  40. Extending Jarzynski Equality to General Langevin System Peer-reviewed

    Yuki Sughiyama, Masayuki Ohzeki

    2010

    DOI： 10.1016/j.physe.2010.07.053 　

  41. 27aQF-1 Analytical evidence for the absence of spin glass transition on self-dual lattices

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　64　(2)　202-202　2009/08/18

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  42. 27aTJ-12 Bond dilution in 2D q state Potts model

    Komura Yukihiro, Okabe Yutaka, Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan　64　(1)　265-265　2009/03/03

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  43. 20aVC-11 Duality Analysis for Precise Locations of Critical Points in Random Spin Systems

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　63　(2)　198-198　2008/08/25

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  44. 26pWF-9 A precise derivation for the location of the multicritical point on the hierarchical lattice

    Ohzeki Masayuki, Nishimori Hidetoshi, Berker A.Nihat

    Meeting abstracts of the Physical Society of Japan　63　(1)　345-345　2008/02/29

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  45. 22aTJ-3 Multicritical points for the hierarchical lattices

    Ohzeki Masayuki, Nishimori Hidetoshi, Berker A. N.

    Meeting abstracts of the Physical Society of Japan　62　(2)　274-274　2007/08/21

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  46. 18pWA-3 Multicritical points of the q=2 state Potts spin glass with, two- and three-body interactions

    Ohzeki Masayuki

    Meeting abstracts of the Physical Society of Japan　62　(1)　242-242　2007/02/28

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  47. 23aXD-3 Multicritical point of the Potts Spin glass with three-body interactions

    Ohzeki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　61　(2)　169-169　2006/08/18

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  48. 27pRD-3 Multicritical point of the ±J Ising model on the triangular lattice

    Nishimori H., Ohzeki M.

    Meeting abstracts of the Physical Society of Japan　61　(1)　261-261　2006/03/04

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

  49. 21aXE-5 The Exact solution for the energy of the Potts model with two- and three- site interactions

    Oseki Masayuki, Nishimori Hidetoshi

    Meeting abstracts of the Physical Society of Japan　60　(2)　179-179　2005/08/19

    Publisher: The Physical Society of Japan (JPS)

    ISSN： 1342-8349

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Books and Other Publications 7

  1. 量子アニーリングの基礎

    西森 秀稔, 大関 真之

    共立出版　2018/05

    ISBN: 9784320035386

  2. ベイズ推定入門 -モデル選択からベイズ的最適化まで-

    大関 真之

    オーム社　2018/02

    ISBN: 9784274221392

  3. 先生、それって「量子」の仕業ですか?

    大関 真之

    小学館　2017/01

    ISBN: 9784093885157

  4. 量子コンピュータが人工知能を加速する

    西森秀稔, 大関真之

    日経BP　2016/12/09

    ISBN: 9784822251895

  5. 機械学習入門 ボルツマン機械学習から深層学習まで

    大関真之

    オーム社　2016/11/30

    ISBN: 9784274219986

  6. Lectures on Quantum Computing, Thermodynamics and Statistical Physics

    Edited by Mikio, Nakahara and, Shu Tanaka

    World Scientific　2012/12/30

  7. Simulated Annealing - Advances, Applications and Hybridizations

    Edited by, Marcos de, Sales Guerra Tsuzuki

    InTech　2012/08/29

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Presentations 35

  1. 多体グリーン関数の自然な疎表現と計算物理学への応用

    品岡 寛, 大槻 純也, 大関 真之, 吉見 一慶

    日本物理学会第73回年次大会　2018/03/25

  2. 中性子散乱におけるスパースモデリングの応用

    世永 公輝, 林田 翔平, 大関 真之, 益田 隆嗣

    日本物理学会第73回年次大会　2018/03/25

  3. 量子速度限界の古典対応物

    奥山 真佳, 大関 真之

    日本物理学会第73回年次大会　2018/03/23

  4. 詳細つりあいを破ったMetropolis法の拡張

    一木 輝久, 大関 真之

    日本物理学会第73回年次大会　2018/03/22

  5. Steady-state distributions of network of degenerate optical parametric oscillators International-presentation

    Miyazaki Ryoji, OHZEKI Masayuki

    Quantum Machine Learning & Biomimetic Quantum Technologies　2018/03/19

  6. Statistical mechanical analysis of Hamiltonian estimation of Ising spin glass based on the framework of statistical query learning International-presentation

    Takahashi Chako, OHZEKI Masayuki, Okada Shuntaro, Terabe Masayoshi, Taguchi Shinichiro, Tanaka Kazuyuki

    Quantum Machine Learning & Biomimetic Quantum Technologies　2018/03/19

  7. The application of D-wave 2000Q to detect quantum phase transition by deep neural network International-presentation

    Arai Shunta, OHZEKI Masayuki, Tanaka Kazuyuki

    Quantum Machine Learning & Biomimetic Quantum Technologies　2018/03/19

  8. Exponential Acceleration of Grover’s Search by Imaginary-Time Quantum Annealing International-presentation

    Okada Shuntaro, OHZEKI Masayuki

    Quantum Machine Learning & Biomimetic Quantum Technologies　2018/03/19

  9. 3D reconstruction of TEM-CT via D-Wave International-presentation

    Masamichi J. Miyama, Chihiro H. Nakajima, Masayuki Ohzeki

    Quantum Machine Learning & Biomimetic Quantum Technologies　2018/03/19

  10. Quantum annealing for deep neural network International-presentation

    OHZEKI Masayuki, Okada Shuntaro, Terabe Masayoshi, Taguchi Shinichiro

    Quantum Machine Learning & Biomimetic Quantum Technologies　2018/03/19

  11. Sparse modeling - revolution on various measurements - International-presentation

    OHZEKI Masayuki

    2017 Bilateral Workshop between Tohoku University and National Tsing Hua University　2017/10/13

  12. 量子アニーリングの高速化に向けた断熱定理の再考

    岡田俊太郎, 田中宗, 大関真之, 寺部雅能, 田口慎一郎

    日本物理学会2017年秋季大会　2017/09/24

  13. スパースモデリングを活用した量子モンテカルロデータの 解析接続〜オープンソースソフトウェア紹介および利用事例の紹介

    吉見 一慶, 大槻 純也, 大関 真之, 品岡 寛

    日本物理学会2017年秋季大会　2017/09/24

  14. 圧縮センシングによるイジング相互作用の推定

    高橋 茶子, 岡田 俊太郎, 寺部 雅能, 田口 慎一郎, 大関 真之, 田中 和之

    2017/09/22

  15. エネルギーの観点から見た詳細つりあいを破る マルコフ連鎖モンテカルロ法

    一木 輝久, 大関 真之

    2017/09/21

  16. Simulated annealingを用いた低ランク行列補完

    三上 譲治, 関 優也, 片岡 駿, 大関 真之, 田中 和之

    日本物理学会2017年秋季大会　2017/09/21

  17. Sparse modeling for quantum Monte-Carlo simulation International-presentation Invited

    OHZEKI Masayuki

    International Meeting on “High-Dimensional Data-Driven Science” (HD3-2017)　2017/09/13

  18. Quantum Annealing - a new paradigm for machine learning and computation International-presentation Invited

    OHZEKI Masayuki

    7th Summer School on Semiconductor/Superconducting Quantum Coherence Effect and Quantum Information　2017/08/28

  19. Machine Learning: Introduction and Applications to Monitoring International-presentation Invited

    OHZEKI Masayuki

    2017 Asia-Pacific-Euro Summer School on Smart Structures Technology(APESS)　2017/07/27

  20. Sparse modeling: a revolution on various measurements International-presentation Invited

    OHZEKI Masayuki

    Data Science Summer School　2017/07/10

  21. Sparse modeling: how to solve the ill-posed problem International-presentation Invited

    OHZEKI Masayuki

    Machine Learning and Many-Body Physics　2017/07/04

  22. 量子アニーリングが拓く機械学習と計算技術の新時代 Invited

    大関 真之

    コンピュテーション研究会（COMP）　2016/12/21

  23. Tutorial on Machine learning - toward deep learning from physics - International-presentation Invited

    OHZEKI Masayuki

    Fourth Workshop on Tensor Network States Algorithms and Applications　2016/12/13

  24. Accelerated Langevin dynamics and its application to machine learning International-presentation Invited

    OHZEKI Masayuki

    Fourth Workshop on Tensor Network States Algorithms and Applications　2016/12/13

  25. スパース正則化入門- 今さらL1ノルム？今こそL1ノルム！- Invited

    大関 真之

    第19回情報論的学習理論ワークショップ(IBIS2016)　2016/11/19

  26. 量子アニーリングが拓く計算技術と機械学習の新時代 Invited

    大関 真之

    量子システム推定の数理　2016/10/26

  27. Statistical Mechanics of pre-training and fine tuning in deep learning International-presentation Invited

    OHZEKI Masayuki

    The 23rd International Conference on Neural Information Processing (ICONIP 2016)　2016/10/18

  28. 深層学習vsスパースモデリング Invited

    OHZEKI Masayuki

    GPU Technology Conference Japan 2016　2016/10/05

  29. 詳細釣り合いの破れを利用したXYマシンの緩和の加速

    一木輝久, 大関真之, 大木健太郎

    日本物理学会2016年秋季大会　2016/09/15

  30. 量子アニーリングにおける負符号問題の解消と応用

    大関 真之

    日本物理学会2016年秋季大会　2016/09/15

  31. 機械学習に現れる最適化問題と量子アニーリング Invited

    大関 真之

    日本物理学会2016年秋季大会　2016/09/15

  32. 誰がカンニングを見たか〜大規模データの本質を抽出するスパース性〜 Invited

    大関 真之

    第15回情報科学技術フォーラムFIT2016　2016/09/07

  33. Avoiding negative sign problem in simulation of quantum annealing International-presentation

    OHZEKI Masayuki

    Adiabatic Quantum Computing Conference 2016 (AQC2016)　2016/06/29

  34. Population annealing with gauge symmetry and its application

    Rejuvenating Concepts in Glass Physics　2012/03/30

  35. Population annealing with gauge symmetry against critical slowing down

    East Asia Joint Symposia on Statistical Physics　2012/03/18

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Research Projects 13

  1. Development of Robust Quantum Error Correction by Continuous-Time Quantum Feedback Control

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: The University of Tokyo

    2023/04/01 - 2026/03/31

  2. Development of theory and technology for quantum error correction based on quantum control theory

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: The University of Tokyo

    2020/04/01 - 2023/03/31

  3. Quantum-Annealing Assisted Innovative Material Informatics Infrastructure

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (A)

    Institution: Tohoku University

    2019/04/01 - 2023/03/31

  4. Material Function Estimation Based on Real Space Observation

    Ichiki Akihisa

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

    Institution: Nagoya University

    2017/06/30 - 2022/03/31

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    The use of machine learning for the development of highly functional materials is the main focus of materials informatics. However, for the safety of the materials development, it is necessary to explain the predicted functions of materials in terms of what humans can understand. In this study, we have investigated the relationship between the structure and function of a material, which are two essential elements of human understanding in materials science, and have shown that the three-dimensional structure of a material and the structure of a material suggested by its molecular formula can indeed be used to predict the physical properties that the material will exhibit. We also clarified the trade-off relation between computation time and computation accuracy for a solver of an optimization problem, which typically appears in the learning phase of machine learning. This is expected to lead to the construction of more efficient machine learning algorithms.

  5. Creation of design theory of quantum statistical machine learning system and its realization

    Kazuyuki Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: Tohoku University

    2018/04/01 - 2021/03/31

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    Some formulations of supervised learning of probabilistic graphical models by conventional belief propagation methods have extended to supervised learning by means of density matrices from the standpoint of quantum mechanical version of cluster variational method. The formulations for quantum statistical supervised learning was released as the book chapter of English book (https://doi.org/10.1007/978-981-16-4095-7_10). Furthermore, we have shown that good performance can be expected in the quantum statistical machine learning systems with low-dimensional state vectors for some application examples such as image generation.

  6. Realization of first-principles calculations of magnetism and superconductivity by compression of high-dimensional data

    Otsuki Junya

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: Okayama University

    2018/04/01 - 2021/03/31

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    Strongly correlated electron compounds offers various practically useful functionalities such as magnetism and superconductivity. The susceptibility represents the response to an external field, and plays an important role in understanding their physical properties. However, calculations of the susceptibility for realistic strongly correlated compounds have not been realized due to the difficulty in numerical calculations. Applying data science approaches, this project has achieved important progress toward the realization of susceptibility calculations for strongly correlated compounds.

  7. Innovative machine learning algorithm driven by violation of detailed balance condition

    Ohzeki Masayuki

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Challenging Exploratory Research

    Institution: Tohoku University

    2016/04/01 - 2019/03/31

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    This study is to develop an innovative algorithm in the field of machine learning that uses classical stochastic processes, based on the fact that the convergence to steady state accelerates when the detailed balance is broken. Starting with Physical Review E 93 (2016) 012129 in 2016, we understand the role played by detailed balance as a physical process, go beyond classical stochastic processes, and step into quantum stochastic processes to create diverse algorithms I aimed at. The basic theory for exploiting quantum systems that are difficult to handle due to the presence of the negative sign problem was developed in Scientific Reports, (2017) 41186, and in scientific reports, 8 (2018) 9950, machine learning utilizing quantum fluctuation A demonstration experiment of the algorithm was conducted.

  8. Fusion of Control/Quantum/Information Theories for Quantum Control Technology

    Tsumura Koji, Hara Shinji, Ohta Kaito

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: The University of Tokyo

    2016/04/01 - 2019/03/31

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    In this research, we aim to establish theories over three fields including control theory, quantum mechanics, and information theory by fusing quantum feedback (FB) control theory, quantum estimation, and quantum computation. In detail, we derived the following results; (I: control) quantum FB control of an optical cavity under measurement constraints, large-scale FB control with local measurement and operations, FB control of thermodynamics under limitation of channel capacity, (II: quantum estimation) generalization of quantum smoothing, projection measurements selection and performance estimation, non-informative prior of the quantum statistical model based on game theory, (III: quantum computation) new methods for quantum annealing and performance improvement by FB control, and deterministic quantum annealing EM algorithm.

  9. Approach to sparse modeling based on compressed sensing

    Tanaka Toshiyuki

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)

    Institution: Kyoto University

    2013/06/28 - 2018/03/31

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    In collaboration with the Medical Science team, Planetary Science team and others, we have developed image reconstruction methods from fewer numbers of measurement data in magnetic resonance imaging (MRI) and very long baseline interferometry (VLBI), in which compressed sensing has been utilized. As an example, using one of the proposed methods, we visualized spatio-temporal dynamics of metabolism of glucose injected into a tumor-bearing mouse in vivo via magnetic resonance spectroscopic imaging (MRSI), where one can observe spreading of the injected glucose over the whole body and conversion into lactate within the tumor tissue (the Warburg effect). Without compressed sensing, it takes several hours to acquire data even for a single frame, making measurement of spatio-temporal dynamics impossible. We have thus proved feasibility of the concept that with compressed sensing one can visualize spatio-temporal dynamics of biochemical processes in body non-invasively.

  10. New era driven by quantum annealing for machine learning and computation Competitive

    Ohzeki Masayuki

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (B)

    2015 - 2018

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    Two achievements have been attained with regard to "the relationship between prime factorization and computational complexity" and "the use of non-trivial quantum fluctuation of quantum annealing" mentioned in the subjects of basic research B. For the former, the free energy shape is clarified by analyzing the structure of energy and entropy for prime number decomposition. The latter half of the result is a large progress that is never predicted, and even for non stoquastic systems that can not be simulated by the quantum Monte Carlo method in a straightforward way, the quantum Monte Carlo method can be implemented using an adaptive transverse magnetic field.

  11. Statistical mechanics study for prime factorization

    Nakajima Chihiro, OHZEKI MASAYUKI

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Challenging Exploratory Research

    Institution: Tohoku University

    2014/04/01 - 2017/03/31

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    We have studied the statistical-mechanics model of the prime factorization problem via a formulation of the ground-state searching problem. By the analysis of the density of states of two macroscopic quantities, i.e., the energy and the Hamming distance from the correct solutions, leads to two features that are each related to two marked changes in the energy region sampled via Monte Carlo simulation or simulated annealing. One is the peculiar first order phase transition that has the intermediate property between the conventional first-order transition and the second-order one and the other is the convex kink in the density of states.

  12. Statistical mechanics and Information processing for optimization and control by nonequilibrium relation Competitive

    Ohzeki Masayuki

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Young Scientists (B)

    Institution: Kyoto University

    2012 - 2015

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    The research project aims at investigation and proposal for solving optimization problem by use of the various nonequilibrium relation such as fluctuation theorem and Jarzynski equality through analyses of various spin glass models. 【The first year representative result】Masayuki Ohzeki, Phys. Rev. E 86, 061110 (2012), 【the second year representative result】Akihisa Ichiki and Masayuki Ohzeki, Phys. Rev. E 88, 020101(R) (2013), 【The third year representative result】Masayuki Ohzeki and Akihisa Ichiki, Phys. Rev. E 92, 012105 (2015)

  13. Precise determination of the multicritical point by renormalization group and duality analysis Competitive

    Masayuki OHZEKI

    Offer Organization: Ministry of Education, Culture, Sports, Science and Technology

    System: Grants-in-Aid for Scientific Research(若手研究(B))

    Category: 若手研究(B)

    Institution: 東京工業大学->京都大学

    2008 - 2012

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    We develop the classical methods in statistical mechanics, duality and renormalization group analysis such that they are applicable to both of the classical and quantum information theory through the special critical point in spin glasses. The study is closely associated with reconsideration of information theory through physics. We perform the following analytical studies ; 1. Establishment to identify the location of the special critical point 2. Consideration on the relationship with the error threshold in quantum information 3. Analysis by aid of the symmetry of the partition function We obtain many outstanding results until the final term of the period supported by the foundation.1. Establishment to identify the location of the special critical point2. Consideration on the relationship with the error threshold in quantum information3. Analysis by aid of the symmetry of the partition functionWe obtain many outstanding results until the final term of the period supported by the foundation.

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Other 2

  1. 量子人工脳を量子ネットワークでつなぐ高度知識社会基盤の実現

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    コヒーレントイジングマシンの産業利用に向けた応用研究

  2. スピングラス理論を駆使した量子誤り訂正符号の読み出しアルゴリズムの開発

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    誤り訂正符号の高速読み出し技術の開発