Quantum generalized fluctuation-dissipation relations in terms of time-distributed observations

TL;DR

This paper introduces new quantum fluctuation-dissipation relations based on continuous observations, highlighting how measurements influence entropy production and induce non-locality in the probabilities of time-reversed processes.

Contribution

It presents novel formulations of quantum fluctuation-dissipation relations using characteristic and probabilistic functionals of continuous measurements.

Findings

Measurements induce additional perturbations affecting entropy production.

Relations between probabilities of time-reversed processes become non-local.

Control of entropy production links to measurement-induced perturbations.

Abstract

New formulations of quantum generalized fluctuation-dissipation relations in terms of characteristic and probabilistic functionals of continuous observations are suggested and discussed. It is shown that control of entropy production in quantum system turns any measurement in it to a source of its extra perturbations, and because of this effect relations between probabilities of mutually time-reversed processes become definitely non-local in their functional space