Family of concurrence monotones and its applications

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.012318· OSTI ID:20650200

Gour, Gilad ^[1]

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1. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2J1 (Canada)

We extend the definition of concurrence into a family of entanglement monotones, which we call concurrence monotones. We discuss their properties and advantages as computational manageable measures of entanglement, and show that for pure bipartite states all measures of entanglement can be written as functions of the concurrence monotones. We then show that the concurrence monotones provide bounds on quantum information tasks. As an example, we discuss their applications to remote entanglement distributions (RED) such as entanglement swapping and remote preparation of bipartite entangled states (RPBES). We prove a powerful theorem which states what kind of (possibly mixed) bipartite states or distributions of bipartite states cannot be remotely prepared. The theorem establishes an upper bound on the amount of G-concurrence (one member in the concurrence family) that can be created between two single-qudit nodes of quantum networks by means of tripartite RED. For pure bipartite states the bound on the G-concurrence can always be saturated by RPBES.

• OSTI ID: 20650200
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DISTRIBUTION
ENERGY LEVELS
INFORMATION THEORY
QUANTUM MECHANICS
QUANTUM NUMBERS
USES