Discrimination of Quantum States under Local Operations and Classical Communication

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.

M.S. Thesis, 61 pages, 1 figure

References in corpus (5)

• Understanding entanglement as resource: locally distinguishing unextendible product bases
• Local distinguishability with preservation of entanglement
• Entanglement Cost of Nonlocal Measurements
• Entanglement cost of two-qubit orthogonal measurements
• A class of unambiguous state discrimination problems achievable by separable measurements but impossible by local operations and classical communication