On GKLS dynamics for local operations and classical communication

TL;DR

This paper introduces a continuous-time framework for LOCC in quantum systems, enabling the construction of GKLS master equations with local decoherence and arbitrary interactions, without entanglement.

Contribution

It develops a novel continuous-time LOCC concept and formulates GKLS master equations incorporating local decoherence and arbitrary potentials.

Findings

GKLS master equations for particle systems with local decoherence.

A simple form of local decoherence terms under least decoherence principle.

Framework applicable to systems with arbitrary pair potentials.

Abstract

We define a time continuous version of the concept of "local operations and classical communication" (LOCC), ubiquitous in quantum information theory. It allows us to construct GKLS master equations for particle systems that have (1) an arbitrary pair potential, and (2) local decoherence terms, but that do not entangle the constituents. The local decoherence terms take a particularly simple form if a principle of least decoherence is applied.