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

Etera R. Livine, Daniel R. Terno

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Abstract

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.

Original languageEnglish
Article number022307
Pages (from-to)1-5
Number of pages5
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume72
Issue number2
DOIs
Publication statusPublished - Aug 2005
Externally publishedYes

Bibliographical note

Livine ER and Terno DR, Phys. Rev A, 72(2), 022307, 2005. Copyright 2005 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevA.72.022307.

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