Fluctuation theorems, quantum channels and gravitational algebras

TL;DR

This paper explores fluctuation theorems in gravitational algebras within de Sitter space, linking quantum measurement, channels, and subfactors to understand nonequilibrium quantum fluctuations.

Contribution

It establishes specific fluctuation theorems in gravitational algebras and connects quantum channels with subfactors using Jones' theory.

Findings

Derived fluctuation theorems for gravitational algebras.

Linked quantum channels to subfactors via measurement theory.

Commented on implementing quantum channels with Jones' subfactor theory.

Abstract

In this note we study nonequilibrium fluctuations in gravitational algebras within de Sitter space. An essential aspect of this study is quantum measurement theory, which allows us to access the dynamical fluctuations of observables via a two-point measurement scheme. Using this formalism, we establish specific fluctuation theorems. Additionally, we demonstrate that quantum channels are represented by subfactors, using the relationship between measurement theory and quantum channels. We also comment on implementing a quantum channel using Jones' theory of subfactors.