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

dc.contributor.author	Planat, Michel
dc.contributor.author	Rosu Barbus, Haret-Codratian
dc.contributor.author	Perrine, Serge
dc.contributor.editor	Springer
dc.date.accessioned	2018-03-21T23:42:22Z
dc.date.available	2018-03-21T23:42:22Z
dc.date.issued	2006
dc.identifier.citation	Planat, M., Rosu, H.C. & Perrine, S. Found Phys (2006) 36: 1662. https://doi.org/10.1007/s10701-006-9079-3
dc.identifier.uri	http://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.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Mutually unbiased bases
dc.subject	d-dimensional Hilbert space
dc.subject	Galois fields and rings
dc.subject	Maximally entangled states
dc.subject.classification	CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.title	A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements
dc.type	article
dc.identifier.doi	https://doi.org/10.1007/s10701-006-9079-3
dc.rights.access	Acceso Abierto

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