dorsal/arxiv
View SchemaEntanglement of zero angular momentum mixtures and black hole entropy
| Authors | Etera R. Livine, Daniel R. Terno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502043 |
| URL | https://arxiv.org/abs/quant-ph/0502043 |
| DOI | 10.1103/PhysRevA.72.022307 |
| Journal | Phys. Rev. A 72, 022307 (2005) |
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.
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"abstract": "We calculate the entanglement of formation and the entanglement of\ndistillation for arbitrary mixtures of the zero spin states on an\narbitrary-dimensional bipartite Hilbert space. Such states are relevant to\nquantum black holes and to decoherence-free subspaces based communication. The\ntwo measures of entanglement are equal and scale logarithmically with the\nsystem size. We discuss its relation to the black hole entropy law. Moreover,\nthese states are locally distinguishable but not locally orthogonal, thus\nviolating a conjecture that the entanglement measures coincide only on locally\northogonal states. We propose a slightly weaker form of this conjecture.\nFinally, we generalize our entanglement analysis to any unitary group.",
"arxiv_id": "quant-ph/0502043",
"authors": [
"Etera R. Livine",
"Daniel R. Terno"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.022307",
"journal_ref": "Phys. Rev. A 72, 022307 (2005)",
"title": "Entanglement of zero angular momentum mixtures and black hole entropy",
"url": "https://arxiv.org/abs/quant-ph/0502043"
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