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A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements

dc.contributor.authorPlanat, Michel
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.authorPerrine, Serge
dc.contributor.editorSpringer
dc.date.accessioned2018-03-21T23:42:22Z
dc.date.available2018-03-21T23:42:22Z
dc.date.issued2006
dc.identifier.citationPlanat, M., Rosu, H.C. & Perrine, S. Found Phys (2006) 36: 1662. https://doi.org/10.1007/s10701-006-9079-3
dc.identifier.urihttp://hdl.handle.net/11627/3468
dc.description.abstract"The basic methods of constructing the sets of mutually unbiased bases in the Hilbert space of an arbitrary finite dimension are reviewed and an emerging link between them is outlined. It is shown that these methods employ a wide range of important mathematical concepts like, e.g., Fourier trans-forms, Galois fields and rings, finite and related projective geometries, and entanglement, to mention a few. Some applications of the theory to quantum information tasks are also mentioned."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMutually unbiased bases
dc.subjectd-dimensional Hilbert space
dc.subjectGalois fields and rings
dc.subjectMaximally entangled states
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleA survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements
dc.typearticle
dc.identifier.doihttps://doi.org/10.1007/s10701-006-9079-3
dc.rights.accessAcceso Abierto


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