Quenched large deviations of Birkhoff sums along random quantum measurements

TL;DR

This paper establishes a quenched large deviation principle for Birkhoff sums in the context of random quantum measurements, providing insights into entropy production in quantum systems.

Contribution

It introduces a quenched large deviation framework for quantum measurement sequences, advancing understanding of quantum entropy dynamics.

Findings

Proves quenched large deviation principle for quantum measurement sums

Applies results to entropy production in quantum systems

Enhances theoretical understanding of quantum measurement fluctuations

Abstract

We prove a quenched version of the large deviation principle for Birkhoff-like sums along a sequence of random quantum measurements driven by an ergodic process. We apply the result to the study of entropy production in the two-time measurement framework.