Entanglement Criterion for Coherent Subtraction and Coherent Addition Bipartite Continuous variable States

TL;DR

This paper derives entanglement criteria for bipartite continuous variable states generated through coherent photon subtraction and addition, providing necessary and sufficient conditions for their entanglement.

Contribution

It introduces a comprehensive entanglement criterion applicable to a broad class of non-Gaussian states created by coherent subtraction or addition.

Findings

Derived necessary and sufficient entanglement condition.

Applicable to various classes of non-Gaussian states.

Enhances understanding of entanglement in non-Gaussian continuous variable states.

Abstract

Photon subtraction and addition are experimental means of generating non-Gaussian states from Gaussian states. Coherent subtraction or addition is a combination of photon subtractions or additions. The resultant states are quite general non-Gaussian states. The states can be photon number entangled states with arbitrary coefficients. We derive the entanglement conditions for several classes of coherent subtraction or coherent addition bipartite continuous variable states. One of the entanglement conditions is necessary and sufficient.