dorsal/arxiv
View SchemaDeterministic Entanglement of Assistance and Monogamy Constraints
| Authors | Gilad Gour, David A. Meyer, Barry C. Sanders |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505091 |
| URL | https://arxiv.org/abs/quant-ph/0505091 |
| DOI | 10.1103/PhysRevA.72.042329 |
| Journal | Phys. Rev. A 72, 042329 (2005) |
Abstract
Certain quantum information tasks require entanglement of assistance, namely a reduction of a tripartite entangled state to a bipartite entangled state via local measurements. We establish that 'concurrence of assistance' (CoA) identifies capabilities and limitations to producing pure bipartite entangled states from pure tripartite entangled states and prove that CoA is an entanglement monotone for $(2\times2\times n)$-dimensional pure states. Moreover, if the CoA for the pure tripartite state is at least as large as the concurrence of the desired pure bipartite state, then the former may be transformed to the latter via local operations and classical communication, and we calculate the maximum probability for this transformation when this condition is not met.
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"abstract": "Certain quantum information tasks require entanglement of assistance, namely\na reduction of a tripartite entangled state to a bipartite entangled state via\nlocal measurements. We establish that \u0027concurrence of assistance\u0027 (CoA)\nidentifies capabilities and limitations to producing pure bipartite entangled\nstates from pure tripartite entangled states and prove that CoA is an\nentanglement monotone for $(2\\times2\\times n)$-dimensional pure states.\nMoreover, if the CoA for the pure tripartite state is at least as large as the\nconcurrence of the desired pure bipartite state, then the former may be\ntransformed to the latter via local operations and classical communication, and\nwe calculate the maximum probability for this transformation when this\ncondition is not met.",
"arxiv_id": "quant-ph/0505091",
"authors": [
"Gilad Gour",
"David A. Meyer",
"Barry C. Sanders"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.042329",
"journal_ref": "Phys. Rev. A 72, 042329 (2005)",
"title": "Deterministic Entanglement of Assistance and Monogamy Constraints",
"url": "https://arxiv.org/abs/quant-ph/0505091"
},
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