Symplectic invariants, entropic measures and correlations of Gaussian states

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dc.creatorSerafini, Alessio
dc.creatorIlluminati, Fabrizio
dc.creatorDe Siena, Silvio
dc.date2003-07-09
dc.date2003-12-16
dc.date.accessioned2026-07-07T06:07:18Z
dc.date.available2026-07-07T06:07:18Z
dc.descriptionWe present a derivation of the Von Neumann entropy and mutual information of arbitrary two--mode Gaussian states, based on the explicit determination of the symplectic eigenvalues of a generic covariance matrix. The key role of the symplectic invariants in such a determination is pointed out. We show that the Von Neumann entropy depends on two symplectic invariants, while the purity (or the linear entropy) is determined by only one invariant, so that the two quantities provide two different hierarchies of mixed Gaussian states. A comparison between mutual information and entanglement of formation for symmetric states is considered, remarking the crucial role of the symplectic eigenvalues in qualifying and quantifying the correlations present in a generic state.
dc.description6 pages, no figures, revised version, sections and references added, to appear in J. Phys. B
dc.identifierhttps://arxiv.org/abs/quant-ph/0307073
dc.identifierhttp://arxiv.org/abs/quant-ph/0307073
dc.identifierJ. Phys. B 37, L21 (2004)
dc.identifierdoi:10.1088/0953-4075/37/2/L02
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91242
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleSymplectic invariants, entropic measures and correlations of Gaussian states
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