Related papers: Randomly measured quantum particles and thermal noise

Randomly measured quantum particles and thermal noise

URL: http://arxiv.org/abs/2507.06382v1
Date: Tue, 08 Jul 2025 20:33:17 GMT
Title: Randomly measured quantum particles and thermal noise
Authors: Victor Gurarie,
Abstract summary: We consider the motion of a quantum particle whose position is measured in random places at random moments in time.<n>We contrast this motion with the motion of a quantum particle in a potential which varies randomly in space and in time.<n>We demonstrate explicitly that while linear observables cannot distinguish between random measurements and random noise, measurable distinctions can be seen in nonlinear observables.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We consider the motion of a quantum particle whose position is measured in random places at random moments in time. We contrast this motion with the motion of a quantum particle in a potential which varies randomly in space and in time, which could also be thought of as (possibly thermal) noise. We calculate expectations of observables both linear and nonlinear in the density matrix. We demonstrate explicitly that while linear observables cannot distinguish between random measurements and random noise, measurable distinctions can be seen in nonlinear observables.

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