Related papers: Objectivity of classical quantum stochastic processes

Objectivity of classical quantum stochastic processes

URL: http://arxiv.org/abs/2304.07110v4
Date: Mon, 24 Jun 2024 12:11:00 GMT
Title: Objectivity of classical quantum stochastic processes
Authors: Piotr Szańkowski, Łukasz Cywiński,
Abstract summary: We investigate what can be concluded about a quantum system when sequential quantum measurements of its observable fulfill the Kolmogorov consistency condition. It can be said that the trajectory interpretation suggested by the Kolmogorov consistent measurements also applies in contexts other than sequential measurements.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We investigate what can be concluded about a quantum system when sequential quantum measurements of its observable -- a prominent example of the so-called quantum stochastic process -- fulfill the Kolmogorov consistency condition and thus appear to an observer as a sampling of a classical trajectory. We identify a set of physical conditions imposed on the system dynamics, that when satisfied, lead to the aforementioned trajectory interpretation of the measurement results. We then show that when another quantum system is coupled to the observable, the operator representing it can be replaced by external noise. Crucially, the realizations of this surrogate (classical) stochastic process follow the same trajectories as those measured by the observer. Therefore, it can be said that the trajectory interpretation suggested by the Kolmogorov consistent measurements also applies in contexts other than sequential measurements.

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