Entanglement of zero angular momentum mixtures and black hole entropy

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

2005-02-07

arxiv.org/abs/quant-ph/0502043v2

Phys. Rev. A 72, 022307 (2005)

Physics

Quantum Physics

5 pages, revtex4 Final version. A discussion of local orthogonality and entanglement is added

Scientific paper

10.1103/PhysRevA.72.022307

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.

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