ANALYSIS OF QUANTUM MONTE CARLO DYNAMICS IN INFINITE-RANGE ISING SPIN SYSTEMS: THEORY AND ITS POSSIBLE APPLICATIONS

被引:0
|
作者
Inoue, Jun-ichi [1 ]
机构
[1] Hokkaido Univ, Grad Sch Informat Sci & Technol, Kita Ku, Sapporo, Hokkaido 0600809, Japan
来源
INTERFACE BETWEEN QUANTUM INFORMATION AND STATISTICAL PHYSICS | 2013年 / 7卷
关键词
Quantum dynamics; Quantum Monte Carlo method; Infinite-range model; Probabilistic information processing; Image restoration; Neural networks; Associative memories; ERROR-CORRECTING CODES; NEURAL-NETWORKS; ASSOCIATIVE MEMORY; IMAGE-RESTORATION; HOPFIELD NETWORKS; MODEL; GLASS; SIMULATIONS; EVOLUTION;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In terms of the stochastic process of a quantum-mechanical variant of Markov chain Monte Carlo method based on the Suzuki-Trotter decomposition, we analytically derive deterministic flows of order parameters such as magnetization in infinite-range (a mean-field like) quantum spin systems. Under the static approximation, differential equations with respect to order parameters are explicitly obtained from the Master equation that describes the microscopic-law in the corresponding classical system. We discuss several possible applications of our approach to several research topics, say, image processing and neural networks. This paper is written as a self-review of two papers(1,2) for Symposium on Interface between Quantum Information and Statistical Physics at Kinki University in Osaka, Japan.
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页码:191 / 213
页数:23
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