TY - JOUR

T1 - Entanglement of zero-angular-momentum mixtures and black-hole entropy

AU - Livine, Etera R.

AU - Terno, Daniel R.

N1 - 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.

PY - 2005/8

Y1 - 2005/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=27144500183&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.72.022307

DO - 10.1103/PhysRevA.72.022307

M3 - Article

AN - SCOPUS:27144500183

VL - 72

SP - 1

EP - 5

JO - Physical Review A: covering atomic, molecular, and optical physics and quantum information

JF - Physical Review A: covering atomic, molecular, and optical physics and quantum information

SN - 2469-9926

IS - 2

M1 - 022307

ER -