Entanglement of zero-angular-momentum mixtures and black-hole entropy

Journal Article · Mon Aug 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.022307· OSTI ID:20718066

Livine, Etera R; Terno, Daniel R ^[1]

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1. Perimeter Institute, 31 Caroline Street, Ontario, N2L 2Y5 (Canada)

We calculate the entanglement of formation and the entanglement of distillation for arbitrary mixtures of the zero spin states on an arbitrary-dimensional bipartite Hilbert space. Such states are relevant to quantum black-holes and to decoherence-free subspaces based communication. The two measures of entanglement are equal and scale logarithmically with the system size. We discuss its relation to the black-hole entropy law. Moreover, these states are locally distinguishable but not locally orthogonal, thus violating a conjecture that the entanglement measures coincide only on locally orthogonal states. We propose a slightly weaker form of this conjecture. Finally, we generalize our entanglement analysis to any unitary group.

• OSTI ID: 20718066
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BLACK HOLES
DATA TRANSMISSION
ENTROPY
HILBERT SPACE
MIXTURES
QUANTUM ENTANGLEMENT
SPIN