Quantum channel detection

TL;DR

This paper introduces a method for detecting properties of quantum channels using entanglement witness techniques, applicable to various channel types, and highlights the complex structure of quantum channels compared to states.

Contribution

It develops a novel approach for quantum channel detection based on entanglement witnesses, extending the methodology to different classes of channels and revealing their intricate separability properties.

Findings

Method applicable to entanglement breaking channels and non separable random unitary channels

Detection operators differ for higher-dimensional systems, indicating richer structure

Technique to identify NPT maps among PPT maps

Abstract

We present a method to detect properties of quantum channels, assuming that some a priori information about the form of the channel is available. The method is based on a correspondence with entanglement detection methods for multipartite density matrices based on witness operators. We first illustrate the method in the case of entanglement breaking channels and non separable random unitary channels, and show how it can be implemented experimentally by means of local measurements. We then study the detection of non separable maps and show that for pairs of systems of dimension higher than two the detection operators are not the same as in the random unitary case, highlighting a richer separability structure of quantum channels with respect to quantum states. Finally we consider the set of PPT maps, developing a technique to reveal NPT maps.