Mutually unbiased bases and discrete Wigner functions

dc.contributorBjörk, G., School of Information and Communication Technology, Royal Institute of Technology (KTH), Electrum 229, SE-164 40 Kista, Sweden; Romero, J.L., Departamento de Física, Universidad de Guadalajara, 44420 Guadalajara, Jalisco, Mexico; Klimov, A.B., Departamento de Física, Universidad de Guadalajara, 44420 Guadalajara, Jalisco, Mexico; Sánchez-Soto, L.L., Departamento de Óptica, Facultad de Física, Universidad Complutense, 28040 Madrid, Spain
dc.contributorKlimov, Andrei B., Universidad de Guadalajara. Centro Universitario de Ciencias Exactas e Ingenierías
dc.creatorBjork, G.
dc.creatorRomero, J.L.
dc.creatorKlimov, Andrei B.
dc.creatorSanchez-Soto, L.L.
dc.date.accessioned2015-11-19T18:51:15Z
dc.date.accessioned2023-07-04T02:52:59Z
dc.date.available2015-11-19T18:51:15Z
dc.date.available2023-07-04T02:52:59Z
dc.date.created2015-11-19T18:51:15Z
dc.date.issued2007
dc.identifierhttp://hdl.handle.net/20.500.12104/66375
dc.identifier10.1364/JOSAB.24.000371
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-33947281430&partnerID=40&md5=2b0cf3df7ae792e825487f437b9718da
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7263442
dc.description.abstractMutually unbiased bases and discrete Wigner functions are closely but not uniquely related. Such a connection becomes more interesting when the Hilbert space has a dimension that is a power of a prime N=dn, which describes a composite system of n qudits. Hence, entanglement naturally enters the picture. Although our results are general, we concentrate on the simplest nontrivial example of dimension N=8=23. It is shown that the number of fundamentally different Wigner functions is severely limited if one simultaneously imposes translational covariance and that the generating operators consist of rotations around two orthogonal axes, acting on the individual qubits only. © 2007 Optical Society of America.
dc.relationJournal of the Optical Society of America B: Optical Physics
dc.relation24
dc.relation2
dc.relation371
dc.relation378
dc.relationScopus
dc.relationWOS
dc.titleMutually unbiased bases and discrete Wigner functions
dc.typeArticle


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