Entanglement assisted state discrimination and entanglement preservation

Abstract

In this paper, the following scenario is considered: there are two qubits possessed by two parties at different locations. Qubits have been prepared in one of a maximum of four, mutually-orthogonal, entangled states and the parties wish to distinguish between the states by using local operations and classical communication. Although in general it is not possible to distinguish between four arbitrary states, the parties can spend some pre-shared entanglement to achieve perfect discrimination between four qubit states and can also preserve the entanglement of the states after discrimination. This is shown by employing the theory of majorization and the connections between entanglement transformations and state discrimination protocols.

5 pages, 2 figures

References in corpus (3)

• Understanding entanglement as resource: locally distinguishing unextendible product bases
• Local distinguishability with preservation of entanglement
• On the conditions for discrimination between quantum states with minimum error

Cited by in corpus (6)

• Strong quantum nonlocality with entanglement
• Strong quantum nonlocality for unextendible product bases in heterogeneous systems
• Unextendible product bases from tile structures and their local entanglement-assisted distinguishability
• Locally distinguishing quantum states with limited classical communication
• Strong quantum nonlocality from hypercubes
• Attainability of quantum state discrimination bounds with collective measurements on finite copies