Covariance, correlation and entanglement
arXiv: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.
30 pages, Latex, to appear in J Phys A
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Cited by in corpus (5)
- Quantifying Quantumness and the Quest for Queens of Quantum
- Generalized Entanglement as a Natural Framework for Exploring Quantum Chaos
- Inferred-variance uncertainty relations in the presence of quantum entanglement
- Integrity bases for local invariants of composite quantum systems
- Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations