Canonical and micro-canonical typical entanglement of continuous variable systems

Simple item page
dc.creatorSerafini, A.
dc.creatorDahlsten, O. C. O.
dc.creatorGross, D.
dc.creatorPlenio, M. B.
dc.date2007-01-10
dc.date2007-01-10
dc.date.accessioned2026-07-07T08:24:32Z
dc.date.available2026-07-07T08:24:32Z
dc.descriptionWe present a framework, compliant with the general canonical principle of statistical mechanics, to define measures on the set of pure Gaussian states of continuous variable systems. Within such a framework, we define two specific measures, referred to as `micro-canonical' and `canonical', and apply them to study systematically the statistical properties of the bipartite entanglement of n-mode pure Gaussian states (as quantified by the entropy of a subsystem). We rigorously prove the "concentration of measure" around a finite average, occurring for the entanglement in the thermodynamical limit in both the canonical and the micro-canonical approach. For finite n, we determine analytically the average and standard deviation of the entanglement (as quantified by the reduced purity) between one mode and all the other modes. Furthermore, we numerically investigate more general situations, clearly showing that the onset of the concentration of measure already occurs at relatively small n.
dc.description24 pages, 5 figures, IOP style; conclusions extended, minor layout adjustment
dc.identifierhttps://arxiv.org/abs/quant-ph/0701051
dc.identifierhttp://arxiv.org/abs/quant-ph/0701051
dc.identifierJ. Phys. A: Math. Theor. 40, 9551 (2007)
dc.identifierdoi:10.1088/1751-8113/40/31/027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136371
dc.subjectQuantum Physics
dc.titleCanonical and micro-canonical typical entanglement of continuous variable systems
dc.typetext

Files

Collections

arXiv