dorsal/arxiv
View SchemaRobustness of entanglement
| Authors | Guifre Vidal, Rolf Tarrach |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806094 |
| URL | https://arxiv.org/abs/quant-ph/9806094 |
| DOI | 10.1103/PhysRevA.59.141 |
| Journal | Phys.Rev. A59 (1999) 141-155 |
Abstract
In the quest of completely describing entanglement in the general case of a finite number of parties sharing a physical system of finite dimensional Hilbert space a new entanglement magnitude is introduced for its pure and mixed states: robustness. It corresponds to the minimal amount of mixing with locally prepared states which washes out all entanglement. It quantifies in a sense the endurence of entanglement against noise and jamming. Its properties are studied comprehensively. Analytical expressions for the robustness are given for pure states of binary systems, and analytical bounds for mixed states of binary systems. Specific results are obtained mainly for the qubit-qubit system. As byproducts local pseudomixtures are generalized, a lower bound for the relative volume of separable states is deduced and arguments for considering convexity a necessary condition of any entanglement magnitude are put forward.
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"abstract": "In the quest of completely describing entanglement in the general case of a\nfinite number of parties sharing a physical system of finite dimensional\nHilbert space a new entanglement magnitude is introduced for its pure and mixed\nstates: robustness. It corresponds to the minimal amount of mixing with locally\nprepared states which washes out all entanglement. It quantifies in a sense the\nendurence of entanglement against noise and jamming. Its properties are studied\ncomprehensively. Analytical expressions for the robustness are given for pure\nstates of binary systems, and analytical bounds for mixed states of binary\nsystems. Specific results are obtained mainly for the qubit-qubit system. As\nbyproducts local pseudomixtures are generalized, a lower bound for the relative\nvolume of separable states is deduced and arguments for considering convexity a\nnecessary condition of any entanglement magnitude are put forward.",
"arxiv_id": "quant-ph/9806094",
"authors": [
"Guifre Vidal",
"Rolf Tarrach"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.59.141",
"journal_ref": "Phys.Rev. A59 (1999) 141-155",
"title": "Robustness of entanglement",
"url": "https://arxiv.org/abs/quant-ph/9806094"
},
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