Coherence and incoherence in quadrature basis

TL;DR

This paper investigates the management of quantum coherence in continuous variable systems, specifically in the quadrature basis, by analyzing how various states and transformations affect coherence measures.

Contribution

It introduces a framework for quantifying coherence in quadrature basis and examines how common optical transformations influence this coherence.

Findings

Coherence measures vary with different physical states of light.

Transformations like beam splitting and squeezing significantly affect coherence.

The study provides insights into coherence management in quantum optical systems.

Abstract

How to manage coherence as a continuous variable quantum resource is still an open question. We face this situation from the very definition of incoherent states in quadrature basis. We apply several measures of coherence for some physical states of light relative to a quadrature basis. We examine the action on the coherence of several transformations such as beam splittings and squeezing.