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dc.contributor.authorBanerjee, Subhashish-
dc.contributor.authorSrikanth, R.-
dc.date.accessioned2011-04-08T07:23:01Z-
dc.date.available2011-04-08T07:23:01Z-
dc.date.issued2010-09-20-
dc.identifier.citationModern Physics Letters B, 2010, Vol.24, p2485en
dc.identifier.issn0217-9849-
dc.identifier.issn1793-6640 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/4010-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractWe develop a unified, information theoretic interpretation of the number-phase complementarity that is applicable both to finite-dimensional (atomic) and infinite-dimensional (oscillator) systems, with number treated as a discrete Hermitian observable and phase as a continuous positive operator valued measure (POVM). The relevant uncertainty principle is obtained as a lower bound on entropy excess, X, the difference between the entropy of one variable, typically the number, and the knowledge of its complementary variable, typically the phase, where knowledge of a variable is defined as its relative entropy with respect to the uniform distribution. In the case of finite-dimensional systems, a weighting of phase knowledge by a factor μ (> 1) is necessary in order to make the bound tight, essentially on account of the POVM nature of phase as defined here. Numerical and analytical evidence suggests that μ tends to 1 as the system dimension becomes infinite. We study the effect of non-dissipative and dissipative noise on these complementary variables for an oscillator as well as atomic systems.en
dc.language.isoenen
dc.publisherWorld Scientific Publishing Companyen
dc.relation.urihttp://arxiv.org/abs/0905.3269en
dc.relation.urihttp://dx.doi.org/10.1142/S0217984910024870en
dc.relation.urihttp://adsabs.harvard.edu/abs/2010MPLB...24.2485Ben
dc.rights2010 World Scientific Publishing Companyen
dc.subjectComplementarityen
dc.subjectentropic uncertainty principleen
dc.subjectopen quantum systemsen
dc.subjectoscillator systemsen
dc.subjectatomic systemsen
dc.titleComplementarity in generic open quantum systemsen
dc.typeArticleen
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