Converting separable conditions to entanglement breaking conditions

TL;DR

This paper introduces a general method to derive entanglement breaking conditions for quantum channels and operations, applicable to both continuous-variable and finite-dimensional systems, enhancing quantum benchmarking techniques.

Contribution

A novel approach converting entanglement witnesses into entanglement breaking conditions applicable to various quantum operations and channels.

Findings

Derived EB conditions for continuous-variable quantum gates.

Developed a quantum benchmark using Gaussian distributed coherent states.

Extended the method to finite-dimensional systems with a Schmidt-number benchmark.

Abstract

We present a general method to derive entanglement breaking (EB) conditions for continuous-variable quantum gates. We start with an arbitrary entanglement witness, and reach an EB condition. The resultant EB condition is applicable not only for quantum channels but also for general quantum operations, namely, trace-non-increasing class of completely positive maps. We illustrate our method associated with a quantum benchmark based on the input ensemble of Gaussian distributed coherent states. We also exploit our idea for channels acting on finite dimensional systems and present a Schmidt-number benchmark based on input states of two mutually unbiased bases and measurements of generalized Pauli operators.