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15 papers · 1 filter
Learning transitions in classical Ising models and deformed toric codes
Malte Pütz, Samuel J. Garratt, Hidetoshi Nishimori +2
Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a \texti…
Reduction of the energy-gap scaling by coherent catalysis in models of quantum annealing
Yang Wei Koh, Hidetoshi Nishimori
Non-stoquastic drivers are known to improve the performance of quantum annealing by reducing first-order phase transitions into second-order ones in several mean-field-type model s…
Quantum Annealing with Antiferromagnetic Transverse Interactions for the Hopfield Model
Yuya Seki, Hidetoshi Nishimori
We investigate quantum annealing with antiferromagnetic transverse interactions for the generalized Hopfield model with -body interactions. The goal is to study the effectivenes…
Mean-field theory is exact for the random-field model with long-range interactions
Junichi Tsuda, Hidetoshi Nishimori
We study the random-field Ising model with long-range interactions and show the exactness of the mean-field theory under certain mild conditions. This is a generalization of the re…
Nonadiabatic Quantum Annealing for One-Dimensional Trasverse-Field Ising Model
Hitoshi Katsuda, Hidetoshi Nishimori
We propose a nonadiabatic approach to quantum annealing, in which we repeat quantum annealing in nonadiabatic time scales, and collect the final states of many realizations to find…
Ensemble Inequivalence in the Spherical Spin Glass Model with Nonlinear Interactions
Yuma Murata, Hidetoshi Nishimori
We investigate the ensemble inequivalence of the spherical spin glass model with nonlinear interactions of polynomial order . This model is solved exactly for arbitrary and…
Many-body spin glasses in the microcanonical ensemble
Zsolt Bertalan, Hidethoshi Nishimori
We investigate the p-spin model with Gaussian-distributed random interactions in the microcanonical ensemble using the replica theory. For p=2, there are only second-order phase tr…
Real-space renormalization group for the transverse-field Ising model in two and three dimensions
Ryoji Miyazaki, Hidetoshi Nishimori, Gerardo Ortiz
The two- and three-dimensional transverse-field Ising models with ferromagnetic exchange interactions are analyzed by means of the real-space renormalization group method. The basi…
Accelerated Stochastic Sampling of Discrete Statistical Systems
Zsolt Bertalan, Hidetoshi Nishimori, Henri Orland
We propose a method to reduce the relaxation time towards equilibrium in stochastic sampling of complex energy landscapes in statistical systems with discrete degrees of freedom by…
Internal Energy of the Potts model on the Triangular Lattice with Two- and Three-body Interactions
Masayuki Ohzeki, Hidetoshi Nishimori
We calculate the internal energy of the Potts model on the triangular lattice with two- and three-body interactions at the transition point satisfying certain conditions for coupli…
Symmetry, complexity and multicritical point of the two-dimensional spin glass
Jean-Marie Maillard, Koji Nemoto, Hidetoshi Nishimori
We analyze models of spin glasses on the two-dimensional square lattice by exploiting symmetry arguments. The replicated partition functions of the Ising and related spin glasses a…
Statistical mechanics of lossy data compression using a non-monotonic perceptron
T. Hosaka, Y. Kabashima, H. Nishimori
The performance of a lossy data compression scheme for uniformly biased Boolean messages is investigated via methods of statistical mechanics. Inspired by a formal similarity to th…
Statistical Mechanics of an NP-complete Problem: Subset Sum
T. Sasamoto, T. Toyoizumi, H. Nishimori
We study statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. The problem is a generalization of the number pa…
Quantum Annealing in the Transverse Ising Model
Tadashi Kadowaki, Hidetoshi Nishimori
We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause trans…
Convergence of simulated annealing by the generalized transition probability
Hidetoshi Nishimori, Jun-ichi Inoue
We prove weak ergodicity of the inhomogeneous Markov process generated by the generalized transition probability of Tsallis and Stariolo under power-law decay of the temperature. W…