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Mutually unbiased bases and discrete Wigner functions
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.ORCID iD: 0000-0002-2082-9583
2007 (English)In: Journal of the Optical Society of America. B, Optical physics, ISSN 0740-3224, E-ISSN 1520-8540, Vol. 24, no 2, 371-378 p.Article in journal (Refereed) Published
Abstract [en]

Mutually 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=d(n), 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=2(3). 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.

Place, publisher, year, edition, pages
2007. Vol. 24, no 2, 371-378 p.
Keyword [en]
quantum-state tomography, prime power dimensions, mean kings problem, hilbert-space, systems, spin, separability, mechanics, operators, geometry
Identifiers
URN: urn:nbn:se:kth:diva-16393ISI: 000244281200028Scopus ID: 2-s2.0-33947281430OAI: oai:DiVA.org:kth-16393DiVA: diva2:334435
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Björk, Gunnar

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