Discrimination of Quantum States under Local Operations and Classical Communication

TL;DR

This paper reviews quantum state discrimination, focusing on bipartite entangled states under local operations and classical communication, highlighting the role of entanglement as a resource and analyzing various cases and approaches.

Contribution

It provides a comprehensive review of quantum-state discrimination methods, introduces new partial results on entanglement as a resource, and discusses different scenarios under LOCC.

Findings

Entanglement can be used as a resource for state discrimination.

Discrimination with remaining entanglement is feasible.

Various approaches to bipartite state discrimination are analyzed.

Abstract

The problem of quantum state discrimination, which is a foundational aspect of quantum information theory, and its relation to the theory of majorization are discussed. The purpose of this study is to review different approaches to the problem and analyze different cases of quantum-state discrimination, most importantly the discrimination of bipartite entangled quantum states under local operations and classical communication. Two partial results on using entanglement as a resource for quantum-state discrimination and discrimination with remaining entanglement is given. The important points are also summarized and the results are discussed.