An Exact Formula for Quantum Entropy Production along Quantum Trajectories
John E. Gough, Nina H. Amini
TL;DR
This paper derives an exact formula for the rate of change of quantum entropy during continuous measurement, utilizing noncommutative Taylor series expansion to analyze quantum trajectories.
Contribution
It introduces a novel exact formula for quantum entropy production along quantum trajectories using Paycha's noncommutative Taylor series.
Findings
Exact formula for von Neumann entropy change during continuous measurement
Application of Paycha's formula to quantum entropy analysis
Provides a mathematical framework for quantum trajectory entropy dynamics
Abstract
We give an exact formula for the rate of change of the von Neumann entropy for the conditional state of a quantum system undergoing continuous measurement. Here we employ Paycha's Formula \cite{Paycha} which gives the noncommutative Taylor series development.
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics · Quantum Computing Algorithms and Architecture