Quantifying coherence of Gaussian states

TL;DR

This paper develops a framework for quantifying the coherence of Gaussian quantum states using a measure based on the relative entropy, extending coherence quantification beyond finite-dimensional systems.

Contribution

It introduces a novel framework and explicit measure for quantifying coherence in Gaussian states, expanding the scope of coherence analysis in quantum systems.

Findings

Defined a coherence measure for Gaussian states based on relative entropy

Extended coherence quantification methods to continuous-variable quantum systems

Provided explicit formulas for coherence in Gaussian states

Abstract

Coherence arises from the superposition principle and plays a key role in quantum mechanics. Recently, Baumgratz et al. [T. Baumgratz, M. Cramer, and M. B. Plenio, Phys. Rev. Lett. 113, 140401 (2014)] established a rigorous framework for quantifying the coherence of finite dimensional quantum states. In this work we provide a framework for quantifying the coherence of Gaussian states and explicitly give a coherence measure based on the relative entropy.