論文 - 田中　宗

Machine Learning Supported Annealing for Prediction of Grand Canonical Crystal Structures

Couzinié Y., Seki Y., Nishiya Y., Nishi H., Kosugi T., Tanaka S., Matsushita Y.I.

Journal of the Physical Society of Japan 94 （ 4 ）  2025年04月

ISSN  00319015

　概要を見る

This study investigates the application of Factorization Machines with Quantum Annealing (FMQA) to address the crystal structure problem (CSP) in materials science. FMQA is a black-box optimization algorithm that combines machine learning with annealing machines to find samples to a black-box function that minimize a given loss. The CSP involves determining the optimal arrangement of atoms in a material based on its chemical composition, a critical challenge in materials science. We explore FMQA’s ability to efficiently sample optimal crystal configurations by setting the loss function to the energy of the crystal configuration as given by a predefined interatomic potential. Further, we investigate how well the energies of the various metastable configurations, or local minima of the potential, are learned by the algorithm. Our investigation reveals FMQA’s potential in quick ground state sampling and in recovering relational order between local minima.

• Access to Document (DOI)

Formulation of Correction Term in QUBO Form for Phase-Field Model

Aoki S., Endo K., Matsuda Y., Seki Y., Tanaka S., Muramatsu M.

International Journal for Numerical Methods in Engineering 126 （ 6 ）  2025年03月

ISSN  00295981

　概要を見る

In this study, we developed a method of estimating the correction terms that makes the Hamiltonian used in phase-field analysis by quantum annealing correspond to the free energy functional of the conventional phase-field analysis using the finite difference method. For the estimation of the correction terms, we employed a factorization machine. The inputs to the factorization machine were the phase-field variables in domain-wall encoding and the differences between the Gibbs free energy and Hamiltonian. We obtained the difference value in quadratic unconstrained binary optimization (QUBO) form as the output of learning using the factorization machine. The QUBO form difference was subjected to the original Hamiltonian as the correction term. The performance of this correction term was evaluated by calculating the energy for a equilibrium state of diblock copolymer. In phase-field analysis, the time evolution equation is formulated so that the total free energy decreases; hence, a lower the free energy means a more accurate result close to that of a conventional method. When we performed annealing with correction terms, the microstructure showed a Gibbs free energy that was lower than that obtained without the correction terms.

• Access to Document (DOI)

Advantages of Fixing Spins in Quantum Annealing

Hattori T., Irie H., Kadowaki T., Tanaka S.

Journal of the Physical Society of Japan 94 （ 1 ）  2025年01月

ISSN  00319015

　概要を見る

Quantum annealing can efficiently obtain solutions to combinatorial optimization problems. Size-reduction methods are used to treat large-scale combinatorial optimization problems that cannot be input directly into a quantum annealer because of its size limitation. Various size-reduction methods using fixing spins have been proposed as quantum-classical hybrid methods to obtain solutions. However, the high performance of these hybrid methods is yet to be clearly elucidated. In this study, we adopted a parameterized fixing spins method to verify the effects of fixing spins. The results revealed that setting the appropriate number of spins of the subproblem is crucial for obtaining a satisfactory solution, and the energy gap expansion is confirmed after fixing spins.

• Access to Document (DOI)

Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization

Nakada H., Tanahashi K., Tanaka S.

IEEE Access 13   73096 - 73108 2025年

　概要を見る

In this study, we propose a new method for constrained combinatorial optimization using variational quantum circuits. Quantum computers are considered to have the potential to solve large combinatorial optimization problems faster than classical computers. Variational quantum algorithms, such as Variational Quantum Eigensolver (VQE), have been studied extensively because they are expected to work on noisy intermediate scale devices. Unfortunately, many optimization problems have constraints, which induces infeasible solutions during VQE process. Recently, several methods for efficiently solving constrained combinatorial optimization problems have been proposed by designing a quantum circuit so as to output only the states that satisfy the constraints. However, the types of available constraints are still limited. Therefore, we have started to develop variational quantum circuits that can handle a wider range of constraints. The proposed method utilizes a forwarding operation that maps from feasible states for subproblems to those for larger subproblems. As long as appropriate forwarding operations can be defined, iteration of this process can inductively construct variational circuits outputting feasible states even in the case of multiple and complex constraints. In this paper, the proposed method was applied to facility location problem. As a result, feasible solutions were obtained with 100%, and the probability of obtaining optimal solutions was over 22 times higher than that of conventional VQEs. Nevertheless, the cost of the obtained circuit was comparable to that of conventional circuits.

• Access to Document (DOI)

Development of optimization method for truss structure by quantum annealing

Honda R., Endo K., Kaji T., Suzuki Y., Matsuda Y., Tanaka S., Muramatsu M.

Scientific Reports 14 （ 1 ）  2024年12月

　概要を見る

In this study, we developed a new method of topology optimization for truss structures by quantum annealing. To perform quantum annealing analysis with real variables, representation of real numbers as a sum of random number combinations is employed. The nodal displacement is expressed with binary variables. The Hamiltonian H is formulated on the basis of the elastic strain energy and position energy of a truss structure. It is confirmed that truss deformation analysis is possible by quantum annealing. For the analysis of the optimization method for the truss structure, the cross-sectional area of the truss is expressed with binary variables. The iterative calculation for the changes in displacement and cross-sectional area leads to the optimal structure under the prescribed boundary conditions.

• Access to Document (DOI)

Novel real number representations in Ising machines and performance evaluation: Combinatorial random number sum and constant division

Endo K., Matsuda Y., Tanaka S., Muramatsu M.

PLoS ONE 19 （ 6 June ）  2024年06月

• Access to Document (DOI)

Static and Dynamic Analysis of Energy Landscape Transformation of the Ising Problems

Kanai H., Tanaka S.

Proceedings - IEEE Quantum Week 2024, QCE 2024 2   374 - 375 2024年

　概要を見る

Ising machines are promising next-generation computers that aim to efficiently obtain good solutions to combinatorial optimization problems, which are converted to the Ising model. To obtain the ground state of the Ising model with high accuracy, tuning the hyperparameters in the Ising model is of great importance. Recently, a new method called Energy Landscape Transformation of Ising Problems (ELTIP) has been proposed which does not change any of the original eigenenergies at all. The previous study demonstrated that the Time-to-Solution (TTS) of Quantum Annealing (QA) decreases for the specific problems after ELTIP. We reveal the scope of the problems where ELTIP can be sufficiently beneficial. To this end, we analyze the correlation between the mean Hamming distance and the ground state probability in both the static and dynamic analysis.

• Access to Document (DOI)

Physical Properties of Error Reduction Algorithms for Ising Machines

Hino K., Tanaka S.

Proceedings - IEEE Quantum Week 2024, QCE 2024 2   434 - 435 2024年

　概要を見る

Ising machines are expected to be dedicated computers that are capable of efficiently searching for good solutions to combinatorial optimization problems. When solving combinatorial optimization problems with an Ising machine, the objective function and constraints of the combinatorial optimization problems are expressed using the Ising model. Then, the low-energy states of the Ising model are searched by the internal algorithms of Ising machines. Typical internal algorithms are Simulated Annealing (SA) and Quantum Annealing (QA). Both algorithms exhibit stochastic behavior, so the final solution may contain errors. Therefore, it is an essential issue in the field of Ising machines to reduce errors as much as possible. A previous study proposed an error reduction method for QA machines, namely the Quantum Annealing Correction (QAC) model. This method reduces error by introducing penalty interaction and performing a specific decoding method. Building on these valuable insights, we proposed an alternative error reduction method, the stacked model. To verify the effectiveness, we examined on the relationship between the penalty interaction and the success probability of the QAC model and the stacked model on SA. The obtained results differ from the facts observed in QA. In summary, a decoding method different from the one considered effective in QA was found to be effective in SA. This result suggests that when considering an appropriate error reduction method, it is necessary to consider the internal algorithm of the Ising machine.

• Access to Document (DOI)

Annealing-Assisted Column Generation for Inequality-Constrained Combinatorial Optimization Problems

Kanai H., Yamashita M., Tanahashi K., Tanaka S.

IEEE Access 12   157669 - 157685 2024年

　概要を見る

Ising machines are expected to solve combinatorial optimization problems faster than the existing integer programming solvers. These problems, particularly those encountered in practical situations, typically involve inequality constraints. However, owing to the hardware limitations of the current Ising machines, solving combinatorial optimization problems with inequality constraints remains challenging. The Capacitated Vehicle Routing Problem (CVRP) is a typical example of a problem with inequality constraints. The CVRP is classified as NP-hard and, thus, is commonly solved using heuristic algorithms, such as column generation. Column generation attempts to iteratively generate only the promising routes, as the number of feasible routes increases exponentially. Within this framework, the CVRP is formulated as a set cover problem. The corresponding dual solutions are used to define the pricing subproblem, which is intended to create a new route. By applying Ising machines to this pricing subproblem, the overall computation time can be reduced. This study aims to solve combinatorial optimization problems with inequality constraints using a hybrid algorithm that combines column generation and Ising machines, thereby extending the applications of the latter. Additionally, we introduced limited column generation, wherein we fixed the decision variables to eliminate the overlap between the generated columns. By reducing unnecessary variables, our proposed method can overcome the hardware limitations where a small number of variables is available on real devices. We parameterize the difficulty of the inequality constraints and demonstrate that our annealing-assisted column generation can converge to a better lower bound.

• Access to Document (DOI)

Quantum Annealing Optimization Method for the Design of Barrier Materials in Magnetic Tunnel Junctions

Nawa K., Suzuki T., Masuda K., Tanaka S., Miura Y.

Physical Review Applied 20 （ 2 ）  2023年08月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Quantum-Classical Computational Molecular Design of Deuterated High-Efficiency OLED Emitters

Gao Q., Jones G.O., Kobayashi T., Sugawara M., Yamashita H., Kawaguchi H., Tanaka S., Yamamoto N.

Intelligent Computing 2   0037 2023年06月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Quantum Annealing Boosts Prediction of Multimolecular Adsorption on Solid Surfaces Avoiding Combinatorial Explosion

Sampei H., Saegusa K., Chishima K., Higo T., Tanaka S., Yayama Y., Nakamura M., Kimura K., Sekine Y.

JACS Au 3 （ 4 ） 991 - 996 2023年04月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Quantum annealing and computation: Challenges and perspectives

Chakrabarti B.K., Leschke H., Ray P., Shirai T., Tanaka S.

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 381 （ 2241 ）  2023年01月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  1364503X

• Access to Document (DOI)

Hybrid Optimization Method Using Simulated-Annealing-Based Ising Machine and Quantum Annealer

Kikuchi S., Togawa N., Tanaka S.

Journal of the Physical Society of Japan 92 （ 12 ）  2023年

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00319015

• Access to Document (DOI)

Dynamical Process of a Bit-Width Reduced Ising Model With Simulated Annealing

Kikuchi S., Togawa N., Tanaka S.

IEEE Access 11   95493 - 95506 2023年

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

An Ising-Machine-Based Solver of Vehicle Routing Problem With Balanced Pick-Up

Bao S., Tawada M., Tanaka S., Togawa N.

IEEE Transactions on Consumer Electronics 70 （ 1 ） 445 - 459 2023年

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00983063

• Access to Document (DOI)

A phase-field model by an Ising machine and its application to the phase-separation structure of a diblock polymer

Endo K., Matsuda Y., Tanaka S., Muramatsu M.

Scientific Reports 12 （ 1 ）  2022年12月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Towards optimization of photonic-crystal surface-emitting lasers via quantum annealing

Inoue T., Seki Y., Tanaka S., Togawa N., Ishizaki K., Noda S.

Optics Express 30 （ 24 ） 43503 - 43512 2022年11月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Continuous black-box optimization with an Ising machine and random subspace coding

Izawa S., Kitai K., Tanaka S., Tamura R., Tsuda K.

Physical Review Research 4 （ 2 ）  2022年06月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  26431564

• Access to Document (DOI)

PyQUBO: Python Library for Mapping Combinatorial Optimization Problems to QUBO Form

Zaman M., Tanahashi K., Tanaka S.

IEEE Transactions on Computers 71 （ 4 ） 838 - 850 2022年04月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00189340

• Access to Document (DOI)

Multi-day Travel Planning Using Ising Machines for Real-world Applications

Bao S., Tawada M., Tanaka S., Togawa N.

IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC 2021-September   3704 - 3709 2021年09月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

An Approach to the Vehicle Routing Problem with Balanced Pick-up Using Ising Machines

Bao S., Tawada M., Tanaka S., Togawa N.

2021 International Symposium on VLSI Design, Automation and Test, VLSI-DAT 2021 - Proceedings 2021年04月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

Mapping induced subgraph isomorphism problems to ising models and its evaluations by an ising machine

Yoshimura N., Tawada M., Tanaka S., Arai J., Yagi S., Uchiyama H., Togawa N.

IEICE Transactions on Information and Systems E104.D （ 4 ） 481 - 489 2021年04月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  09168532

• Access to Document (DOI)

Solving constrained slot placement problems using an ising machine and its evaluations

Kanamaru S., Kawamura K., Tanaka S., Tomita Y., Togawa N.

IEICE Transactions on Information and Systems E104D （ 2 ） 226 - 236 2021年02月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  09168532

• Access to Document (DOI)

Visiting-Route Recommendation in Amusement Parks and its Evaluations by an Ising Machine

Mukasa Y., Wakaizumi T., Tanaka S., Togawa N.

Digest of Technical Papers - IEEE International Conference on Consumer Electronics 2021-January 2021年01月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

Performance comparison of typical binary-integer encodings in an Ising machine

Tamura K., Shirai T., Katsura H., Tanaka S., Togawa N.

IEEE Access 9   81032 - 81039 2021年

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder

Shirai T., Tanaka S.

Annals of Physics 435 2021年

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00034916

• Access to Document (DOI)

Experimental evaluations of parallel tempering on an ising machine

Mukasa Y., Tanaka S., Togawa N.

IPSJ Transactions on System LSI Design Methodology 14   27 - 29 2021年

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

An ising machine-based solver for visiting-route recommendation problems in amusement parks

MUKASA Y., WAKAIZUMI T., TANAKA S., TOGAWA N.

IEICE Transactions on Information and Systems E104D （ 10 ） 1592 - 1600 2021年

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  09168532

• Access to Document (DOI)

Designing Metamaterials with Quantum Annealing and Factorization Machines

Kitai K., Guo J., Ju S., Tanaka S., Tsuda K., Shiomi J., Tamura R.

Physical Review Research 2   013319-1 - 013319-10 2020年03月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

A new LDPC code decoding method: Expanding the scope of ising machines

Tawada M., Tanaka S., Togawa N.

Digest of Technical Papers - IEEE International Conference on Consumer Electronics 2020-January 2020年01月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

Theory of Ising Machines and a Common Software Platform for Ising Machines

Tanaka S., Matsuda Y., Togawa N.

Proceedings of the Asia and South Pacific Design Automation Conference, ASP-DAC 2020-January   659 - 666 2020年

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

How to Reduce the Bit-width of an Ising Model by Adding Auxiliary Spins

Oku D., Tawada M., Tanaka S., Togawa N.

IEEE Transactions on Computers 71 （ 1 ） 223 - 234 2020年

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00189340

• Access to Document (DOI)

Guiding Principle for Minor-Embedding in Simulated-Annealing-Based Ising Machines

Shirai T., Tanaka S., Togawa N.

IEEE Access 8   210490 - 210502 2020年

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

イジングモデルによる類似誘導部分グラフ同型問題の解法

吉村 夏一、多和田 雅師、田中 宗、新井 淳也、徳 礪、八木 哲志、内山 寛之、戸川 望

研究報告システムとLSIの設計技術（SLDM） 2019-SLDM-189   1 - 6 2019年11月

研究論文（研究会，シンポジウム資料等）, 共著

Mapping constrained slot-placement problems to ising models and its evaluations by an ising machine

Kanamaru S., Kawamura K., Tanaka S., Tomita Y., Matsuoka H., Kawamura K., Togawai N.

IEEE International Conference on Consumer Electronics - Berlin, ICCE-Berlin 2019-September   221 - 226 2019年09月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

Efficient ising model mapping for induced subgraph isomorphism problems using ising machines

Yoshimura N., Tawada M., Tanaka S., Arai J., Yagi S., Uchiyama H., Togawa N.

IEEE International Conference on Consumer Electronics - Berlin, ICCE-Berlin 2019-September   227 - 232 2019年09月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

A multiple coefficients trial method to solve combinatorial optimization problems for simulated-annealing-based ising machines

Takehara K., Oku D., Matsuda Y., Tanaka S., Togawa N.

IEEE International Conference on Consumer Electronics - Berlin, ICCE-Berlin 2019-September   64 - 69 2019年09月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

Application of Ising machines and a software development for Ising machines

Tanahashi K., Takayanagi S., Motohashi T., Tanaka S.

Journal of the Physical Society of Japan 88 （ 6 ） 061010-1 - 061010-10 2019年05月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00319015

• Access to Document (DOI)

Quantum phase transition in fully connected quantum Wajnflasz–Pick model

Seki Y., Tanaka S., Kawabata S.

Journal of the Physical Society of Japan 88 （ 5 ） 054006-1 - 054006-12 2019年04月

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  00319015

• Access to Document (DOI)

SAベースのイジングマシンにより巡回セールスマン問題を高速解法するための多種軽量係数試行法

竹原 康太、於久 太祐、松田 佳希、田中 宗、戸川 望

研究報告組込みシステム（EMB） 2019-EMB-50   1 - 6 2019年03月

研究論文（研究会，シンポジウム資料等）, 共著

Efficient Ising Model Mapping to Solving Slot Placement Problem

Kanamaru S., Oku D., Tawada M., Tanaka S., Hayashi M., Yamaoka M., Yanagisawa M., Togawa N.

2019 IEEE International Conference on Consumer Electronics, ICCE 2019    1 - 6 2019年03月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

A fully-connected ising model embedding method and its evaluation for CMOS annealing machines

Oku D., Terada K., Hayashi M., Yamaoka M., Tanaka S., Togawa N.

IEICE Transactions on Information and Systems E102.D （ 9 ） 1696 - 1706 2019年

研究論文（学術雑誌）, 共著, 査読有り,  ISSN  09168532

• Access to Document (DOI)

実イジング計算機による制約付きスロット配置問題の解法

金丸 翔、川村 一志、田中 宗、戸川 望

研究報告システム・アーキテクチャ（ARC） 2019-ARC-235   1 - 6 2019年

研究論文（研究会，シンポジウム資料等）, 共著

An Ising model mapping to solve rectangle packing problem

Terada K., Oku D., Kanamaru S., Tanaka S., Hayashi M., Yamaoka M., Yanagisawa M., Togawa N.

2018 International Symposium on VLSI Design, Automation and Test, VLSI-DAT 2018    1 - 4 2018年06月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

イジング計算機によるスロット配置問題の解法

金丸 翔、於久 太祐、多和田 雅師、田中 宗、林 真人、山岡 雅直、柳澤 政生、戸川 望

電子情報通信学会技術研究報告 IEICE technical report: 信学技報 118 （ 82 ） 161 - 166 2018年

研究論文（研究会，シンポジウム資料等）, 共著

断熱量子コンピューティングによる巡回セールスマン問題の解法

中原 幹夫、坂東 将光、田中 宗

近畿大学理工学総合研究所研究報告 29   1 - 9 2017年02月

研究論文（研究会，シンポジウム資料等）, 共著

Applicability of Scaling Behavior and Power Laws in the Analysis of the Magnetocaloric Effect in Second-Order Phase Transition Materials

Carlos Romero-Muñiz, Ryo Tamura, Shu Tanaka, and Victorino Franco

Physical Review B 94   134401-1 - 134401-13 2016年10月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Topological and Dynamical Properties of a Generalized Cluster Model in One Dimension

Takumi Ohta, Shu Tanaka, Ippei Danshita, and Keisuke Totsuka

Physical Review B 93   165423-1 - 165423-16 2016年04月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Phase Diagram and Sweep Dynamics of a One-Dimensional Generalized Cluster Model

Takumi Ohta, Shu Tanaka, Ippei Danshita, and Keisuke Totsuka

Journal of the Physical Society of Japan 84   063001-1 - 063001-4 2015年05月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

量子アニーリング法を用いたクラスタ分析

田中 宗、佐藤 一誠、栗原 賢一、宮下 精二、中川 裕志

第32回量子情報技術研究会資料    25 - 28 2015年

研究論文（研究会，シンポジウム資料等）, 共著

Structural Phase Transition between γ-Ti3O5 and δ-Ti3O5 by Breaking of One-Dimensionally Conducting Pathway

Kenji Tanaka, Tomomichi Nasu, Yasuto Miyamoto, Noriaki Ozaki, Shu Tanaka, Toshiaki Nagata, Fumiyoshi Hakoe, Marie Yoshikiyo, Kosuke Nakagawa, Yoshikazu Umeta, Kenta Imoto, Hiroko Tokoro, Asuka Namai, and Shin-ichi Ohkoshi

Crystal Growth and Design 15   653 - 657 2014年12月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Magnetic Ordered Structure Dependence of Magnetic Refrigeration Efficiency

Ryo Tamura, Shu Tanaka, Takahisa Ohno, and Hideaki Kitazawa

Journal of Applied Physics 116   053908-1 - 053908-12 2014年07月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Entanglement Properties of a Quantum Lattice-Gas Model on Square and Triangular Ladders

Shu Tanaka, Ryo Tamura, and Hosho Katsura

Kinki University Series on Quantum Computing 9   71 - 88 2014年

研究論文（国際会議プロシーディングス）, 共著

• Access to Document (DOI)

A Method to Change Phase Transition Nature — Toward Annealing Method —

Ryo Tamura and Shu Tanaka

Kinki University Series on Quantum Computing 9   135 - 161 2014年

研究論文（国際会議プロシーディングス）, 共著

• Access to Document (DOI)

Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering

Issei Sato, Shu Tanaka, Kenichi Kurihara, Seiji Miyashita, and Hiroshi Nakagawa

Neurocomputing 121   523 - 531 2013年12月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Interlayer-Interaction Dependence of Latent Heat in the Heisenberg Model on a Stacked Triangular Lattice with Competing Interactions

Ryo Tamura and Shu Tanaka

Physical Review E 88   052138-1 - 052138-9 2013年11月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Phase Transitions with Discrete Symmetry Breaking in Antiferromagnetic Heisenberg Models on a Triangular Lattice

Ryo Tamura, Shu Tanaka, and Naoki Kawashima

JPS Conference Proceedings 1   012125-1 - 012125-5 2013年07月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Second-Order Phase Transition in Heisenberg Model on Triangular Lattice with Competing Interactions

Ryo Tamura, Shu Tanaka, and Naoki Kawashima

Physical Review B 87   214401-1 - 214401-5 2013年06月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice

Shu Tanaka and Ryo Tamura

Journal of the Physical Society of Japan 82   053002-1 - 053002-5 2013年04月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Two-Dimensional Octacyano-Bridged Mn(II)-Nb(IV) Bimetal Assembly with Four Different Configurations of 3-Hydroxypyridines

Daisuke Takahashi, Koji Nakabayashi, Shu Tanaka, and Shin-ichi Ohkoshi

Inorganic Chemistry Communications 27   47 - 50 2013年01月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

A Useful Way to Obtain the Central Charge of Entanglement Hamiltonian — Nested Entanglement Entropy —

Shu Tanaka

Interdisciplinary Information Sciences 19   101 - 105 2013年

研究論文（学術雑誌）, 単著, 査読有り

• Access to Document (DOI)

Entanglement Spectra of the Quantum Hard-Square Model: Holographic Minimal Models

Shu Tanaka, Ryo Tamura, and Hosho Katsura

Physical Review A 86   032326-1 - 032326-9 2012年09月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

統計的機械学習における量子アニーリング

佐藤 一誠、田中 宗、栗原 賢一、宮下 精二、中川 裕志

基礎物理学研究所研究会：情報統計力学の最前線 –情報と揺らぎの制御を目指して– 会議録 2012年03月

研究論文（研究会，シンポジウム資料等）, 共著

量子ビット間の相互作用推定手法

田中 宗

基礎物理学研究所研究会：情報統計力学の最前線 –情報と揺らぎの制御を目指して– 会議録 2012年03月

研究論文（研究会，シンポジウム資料等）, 単著

新奇揺らぎの導入による相転移現象の制御

田村 亮、田中 宗

基礎物理学研究所研究会：情報統計力学の最前線 –情報と揺らぎの制御を目指して– 会議録 2012年03月

研究論文（研究会，シンポジウム資料等）, 共著

Hamiltonian Identification for a 3-Spin Chain

Mohammad Ali Fasihi、田中 宗、中原 幹夫、近藤 康

素粒子論研究 119 （ 4A ） D76 - D86 2012年

研究論文（研究会，シンポジウム資料等）, 共著

Quantum Annealing and Quantum Fluctuation Effect in Frustrated Ising Systems

Shu Tanaka and Ryo Tamura

Kinki University Series on Quantum Computing 7   241 - 261 2012年

研究論文（国際会議プロシーディングス）, 共著

• Access to Document (DOI)

A Method to Control Order of Phase Transition: Invisible States in Discrete Spin Models

Ryo Tamura, Shu Tanaka, and Naoki Kawashima

Kinki University Series on Quantum Computing 7   217 - 238 2012年

研究論文（国際会議プロシーディングス）, 共著

Microscopic Properties of Quantum Annealing — Application to Fully Frustrated Ising Systems —

Shu Tanaka

Kinki University Series on Quantum Computing 6   93 - 103 2012年

研究論文（国際会議プロシーディングス）, 単著

• Access to Document (DOI)

Hamiltonian Determination through Edge Spin in Transverse Ising Chain

Mohammad Ali Fasihi, Shu Tanaka, Mikio Nakahara, and Yasushi Kondo

Kinki University Series on Quantum Computing 6   113 - 122 2012年

研究論文（国際会議プロシーディングス）, 共著

• Access to Document (DOI)

Hybrid Quantum Annealing for Clustering Problems

Shu Tanaka, Ryo Tamura, Issei Sato, and Kenichi Kurihara

Kinki University Series on Quantum Computing 5   169 - 192 2012年

研究論文（国際会議プロシーディングス）, 共著

• Access to Document (DOI)

Weak Measurement によるスピン相互作用の推定

田中 宗、鹿野 豊

素粒子論研究 119 （ 4A ） D127 - D135 2012年

研究論文（研究会，シンポジウム資料等）, 共著

Entanglement Spectra of the Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Model: Correspondence between the Valence-Bond-Solid State and Conformal Field Theory

Jie Lou, Shu Tanaka, Hosho Katsura, and Naoki Kawashima

Physical Review B 84   245128-1 - 245128-9 2011年11月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Estimation of Spin-Spin Interaction by Weak Measurement Scheme

Yutaka Shikano and Shu Tanaka

Europhysics Letters 96   40002-1 - 40002-5 2011年11月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Hyperfine Interaction Estimation in Nitrogen Vacancy Center in Diamond Using Weak Values

Yutaka Shikano, Sota Kagami, Shu Tanaka, and Akio Hosoya

AIP Conference Proceedings 1363   177 - 180 2011年10月

研究論文（国際会議プロシーディングス）, 共著, 査読有り

• Access to Document (DOI)

Dynamic Properties of Potts Model with Invisible States

Shu Tanaka and Ryo Tamura

Journal of Physics: Conference Series 320   012025-1 - 012025-6 2011年09月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

量子アニーリングにおける無限混合モデルの並列最適化

佐藤 一誠、栗原 賢一、田中 宗、宮下 精二、中川 裕志

電子情報通信学会技術研究報告 IBISML, 情報論的学習理論と機械学習, 111 （ 87 ） 111 - 117 2011年06月

研究論文（研究会，シンポジウム資料等）, 共著

Phase Transition of Generalized Ferromagnetic Potts Model — Effect of Invisible States —

Shu Tanaka, Ryo Tamura, and Naoki Kawashima

Journal of Physics: Conference Series 297   012022-1 - 012022-7 2011年05月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Successive Phase Transitions and Phase Diagrams of the Quasi-Two-Dimensional Triangular Antiferromagnet Rb4Mn(MoO4)3

Rieko Ishii, Shu Tanaka, Keisuke Onuma, Yusuke Nambu, Masashi Tokunaga, Toshiro Sakakibara, Naoki Kawashima, Yoshiteru Maeno, Collin Broholm, Dixie P. Gartreaux, Julia Y. Chan, and Satoru Nakatsuji

Europhysics Letters 94   17001-1 - 17001-5 2011年03月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain

Mohammad Ali Fasihi, Shu Tanaka, Mikio Nakahara, and Yasushi Kondo

Journal of the Physical Society of Japan 80   044002-1 - 044002-7 2011年03月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Quantum Field Induced Orderings in Fully Frustrated Ising Spin Systems

Shu Tanaka, Masaki Hirano, and Seiji Miyashita

Physica E 43   766 - 768 2011年01月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Phase Transition in Potts Model with Invisible States

Ryo Tamura, Shu Tanaka, and Naoki Kawashima

Progress of Theoretical Physics 124   381 - 388 2010年08月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Non-Monotonic Dynamics in Frustrated Ising Model with Time-Dependent Transverse Field

Shu Tanaka and Seiji Miyashita

Physical Review E 81   051138-1 - 051138-8 2010年05月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Entanglement in Valence-Bond-Solid States on Symmetric Graphs

Hosho Katsura, Naoki Kawashima, Anatol N. Kirillov, Vladimir E. Korepin, and Shu Tanaka

Journal of Physics A: Mathematical and Theoretical 43   255303-1 - 255303-28 2010年05月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Mechanism of Slow Relaxation due to Screening Effect in a Frustrated System

Shu Tanaka and Seiji Miyashita

Journal of the Physical Society of Japan 78   084002-1 - 084002-7 2009年08月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Quantum Response to Time-Dependent External Field

Seiji Miyashita, Shu Tanaka, Hans De Raedt, and Bernard Barbara

Journal of Physics: Conference Series 143   012005-1 - 012005-10 2009年01月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

量子アニーリング法を用いたクラスタ分析

田中 宗、栗原 賢一、宮下 精二

科研費特定領域研究「情報統計力学の深化と展開」 研究会「情報統計力学の広がり: 量子・画像・そして展開」講演概要集 2009年

研究論文（研究会，シンポジウム資料等）, 共著

Quantum Annealing for Variational Bayes Inference

Issei Sato, Kenichi Kurihara, Shu Tanaka, Hiroshi Nakagawa, and Seiji Miyashita

Proceedings of the 25th Conference on Uncertainty in Artificial Intelligence 2009年

研究論文（国際会議プロシーディングス）, 共著, 査読有り

Quantum Annealing for Clustering

Kenichi Kurihara, Shu Tanaka, and Seiji Miyashita

Proceedings of the 25th Conference on Uncertainty in Artificial Intelligence 2009年

研究論文（国際会議プロシーディングス）, 共著, 査読有り

Non-Monotonic Relaxation in Systems with Reentrant Type Interaction

Seiji Miyashita, Shu Tanaka, and Masaki Hirano

Journal of the Physical Society of Japan 76   083001-1 - 083001-4 2007年08月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Slow Relaxation of Spin Structure in Exotic Ferromagnetic Phase of Ising-Like Heisenberg Kagome Antiferromagnets

Shu Tanaka and Seiji Miyashita

Journal of the Physical Society of Japan 76   103001-1 - 103001-4 2007年08月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Slow Relaxation Process in Ising like Heisenberg Kagome Antiferromagnets due to Macroscopic Degeneracy in the Ordered State

Shu Tanaka and Seiji Miyashita

Journal of Physics: Condensed Matter 19   145256-1 - 145256-5 2007年03月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Quantum Annealing Effect on Entropic Slowing Down in Frustrated Decorated Bond System

Shu Tanaka and Seiji Miyashita

Journal of Magnetism and Magnetic Materials 310   e468 - e470 2007年03月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

Electron Localization or Delocalization in Incommensurate Helical Magnets

Shu Tanaka, Hosho Katsura, and Naoto Nagaosa

Physical Review Letters 97   116404-1 - 116404-4 2006年09月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)

フラストレートスピン系におけるリエントラント転移の動的特性

田中　宗

物性研究 85 （ 4 ） 523 - 551 2006年01月

研究論文（学術雑誌）, 単著, 査読有り

Dynamical Properties of Temperature Chaos and Memory Effect

Shu Tanaka and Seiji Miyashita

Progress of Theoretical Physics Supplement 157   34 - 37 2005年01月

研究論文（学術雑誌）, 共著, 査読有り

• Access to Document (DOI)