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The hyperbolic, the arithmetic and the quantum phase

dc.contributor.authorMetod Saniga
dc.contributor.authorMichel Planat
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.editorIOP Publishing
dc.date.accessioned2018-03-21T23:42:27Z
dc.date.available2018-03-21T23:42:27Z
dc.date.issued2004
dc.identifier.citationMetod Saniga et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 L19
dc.identifier.urihttp://hdl.handle.net/11627/3492
dc.description.abstract"We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical concepts such as cyclotomy and the Ramanujan sums. As a result, phase variability looks quite similar to its classical counterpart, having peaks at dimensions equal to a power of a prime number. Squeezing of the phase noise is allowed for specific quantum states. The concept of phase entanglement for Kloosterman pairs of phase-locked states is introduced."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMutually unbiased bases
dc.subjectMUBs
dc.subjectFinite projective planes
dc.subjectHopf fibrations
dc.subject.classificationFÍSICA
dc.titleThe hyperbolic, the arithmetic and the quantum phase
dc.typearticle
dc.identifier.doihttps://doi.org/10.1088/1464-4266/6/9/L01
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional