Schmidt information and entanglement in quantum systems

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dc.creatorBogdanov, A. Yu.
dc.creatorBogdanov, Yu. I.
dc.creatorValiev, K. A.
dc.date2005-12-08
dc.date.accessioned2026-07-07T06:56:34Z
dc.date.available2026-07-07T06:56:34Z
dc.descriptionThe purpose of this paper is to study entanglement of quantum states by means of Schmidt decomposition. The notion of Schmidt information which characterizes the non-randomness of correlations between two observers that conduct measurements of EPR-states is proposed. In two important particular cases - a finite number of Schmidt modes with equal probabilities and Gaussian correlations- Schmidt information is equal to Shannon information. A universal measure of a dependence of two variables is proposed. It is based on Schmidt number and it generalizes the classical Pearson correlation coefficient. It is demonstrated that the analytical model obtained can be applied to testing the numerical algorithm of Schmidt modes extraction. A thermodynamic interpretation of Schmidt information is given. It describes the level of entanglement and correlations of micro-system with its environment
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0512062
dc.identifierhttp://arxiv.org/abs/quant-ph/0512062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106683
dc.subjectQuantum Physics
dc.titleSchmidt information and entanglement in quantum systems
dc.typetext

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