dorsal/arxiv
View SchemaNegativity as a distance from a separable state
| Authors | M. Khasin, R. Kosloff, D. Steinitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701005 |
| URL | https://arxiv.org/abs/quant-ph/0701005 |
| DOI | 10.1103/PhysRevA.75.052325 |
| Journal | Phys. Rev. A 75, 052325 (2007) |
Abstract
The computable measure of the mixed-state entanglement, the negativity, is shown to admit a clear geometrical interpretation, when applied to Schmidt-correlated (SC) states: the negativity of a SC state equals a distance of the state from a pertinent separable state. As a consequence, a SC state is separable if and only if its negativity vanishes. Another remarkable consequence is that the negativity of a SC can be estimated "at a glance" on the density matrix. These results are generalized to mixtures of SC states, which emerge in certain quantum-dynamical settings.
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"abstract": "The computable measure of the mixed-state entanglement, the negativity, is\nshown to admit a clear geometrical interpretation, when applied to\nSchmidt-correlated (SC) states: the negativity of a SC state equals a distance\nof the state from a pertinent separable state. As a consequence, a SC state is\nseparable if and only if its negativity vanishes. Another remarkable\nconsequence is that the negativity of a SC can be estimated \"at a glance\" on\nthe density matrix. These results are generalized to mixtures of SC states,\nwhich emerge in certain quantum-dynamical settings.",
"arxiv_id": "quant-ph/0701005",
"authors": [
"M. Khasin",
"R. Kosloff",
"D. Steinitz"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.052325",
"journal_ref": "Phys. Rev. A 75, 052325 (2007)",
"title": "Negativity as a distance from a separable state",
"url": "https://arxiv.org/abs/quant-ph/0701005"
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