dorsal/arxiv
View SchemaAsymptotic entanglement manipulation of bipartite pure states
| Authors | Garry Bowen, Nilanjana Datta |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610199 |
| URL | https://arxiv.org/abs/quant-ph/0610199 |
Abstract
Entanglement of pure states of bipartite quantum systems has been shown to have a unique measure in terms of the von Neumann entropy of the reduced states of either of its subsystems. The measure is established under entanglement manipulation of an asymptotically large number of copies of the states. In this paper, different asymptotic measures of entanglement assigned to arbitrary sequences of bipartite pure states are shown to coincide only when the sequence is information stable, in terms of the quantum spectral information rates of the sequence of subsystem states. Additional bounds on the optimal rates of entanglement manipulation protocols in quantum information are also presented, including bounds given by generalizations of the coherent information and the relative entropy of entanglement.
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"abstract": "Entanglement of pure states of bipartite quantum systems has been shown to\nhave a unique measure in terms of the von Neumann entropy of the reduced states\nof either of its subsystems. The measure is established under entanglement\nmanipulation of an asymptotically large number of copies of the states. In this\npaper, different asymptotic measures of entanglement assigned to arbitrary\nsequences of bipartite pure states are shown to coincide only when the sequence\nis information stable, in terms of the quantum spectral information rates of\nthe sequence of subsystem states. Additional bounds on the optimal rates of\nentanglement manipulation protocols in quantum information are also presented,\nincluding bounds given by generalizations of the coherent information and the\nrelative entropy of entanglement.",
"arxiv_id": "quant-ph/0610199",
"authors": [
"Garry Bowen",
"Nilanjana Datta"
],
"categories": [
"quant-ph"
],
"title": "Asymptotic entanglement manipulation of bipartite pure states",
"url": "https://arxiv.org/abs/quant-ph/0610199"
},
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