Weak value analogue in classical stochastic process

2011/09/20 by Hiroyuki Tomita, Tomita, Hiroyuki · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.48550/arxiv.1109.4302

Revised as Arxiv:1201.1329

openalex publication_date 2011/09/20 · arxiv created 2012/01/10 · arxiv updated 2012/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The time evolution of the two-time conditional probability of the classical stochastic process is described in an analogous form of the quantum mechanical wave equations. By using it, we emulate the same strange behaviors as those of the weak value in the quantum mechanics. A negative probability and abnormal expectations of some quantities remarkablely larger than their inherent norms are found in an example of a stochastic Ising spin system.

Cited by

• Classical Analogue of Weak Value in Stochastic Process

Related

• Weak value expansion of quantum operators and its application in stochastic matrices
• Weak values, 'negative probability' and the uncertainty principle
• Could random dynamics derive quantum mechanics via the weak value?
• A First Principles Derivation of Classical and Quantum Mechanics as the Natural Theories for Smooth Stochastic Paths
• Complex Probability Measure and Aharonov's Weak Value