dorsal/arxiv
View SchemaCovariance, correlation and entanglement
| Authors | R I A Davis, R Delbourgo, P D Jarvis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001076 |
| URL | https://arxiv.org/abs/quant-ph/0001076 |
| DOI | 10.1088/0305-4470/33/9/312 |
Abstract
Some new identities for quantum variance and covariance involving commutators are presented, in which the density matrix and the operators are treated symmetrically. A measure of entanglement is proposed for bipartite systems, based on covariance. This works for two- and three-component systems but produces ambiguities for multicomponent systems of composite dimension. Its relationship to angular momentum dispersion for symmetric symmetric spin states is described.
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"abstract": "Some new identities for quantum variance and covariance involving commutators\nare presented, in which the density matrix and the operators are treated\nsymmetrically. A measure of entanglement is proposed for bipartite systems,\nbased on covariance. This works for two- and three-component systems but\nproduces ambiguities for multicomponent systems of composite dimension. Its\nrelationship to angular momentum dispersion for symmetric symmetric spin states\nis described.",
"arxiv_id": "quant-ph/0001076",
"authors": [
"R I A Davis",
"R Delbourgo",
"P D Jarvis"
],
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"doi": "10.1088/0305-4470/33/9/312",
"title": "Covariance, correlation and entanglement",
"url": "https://arxiv.org/abs/quant-ph/0001076"
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