Mutually unbiased bases and discrete Wigner functions
2007 (English)In: Journal of the Optical Society of America. B, Optical physics, ISSN 0740-3224, Vol. 24, no 2, 371-378 p.Article in journal (Refereed) Published
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.
quantum-state tomography, prime power dimensions, mean kings problem, hilbert-space, systems, spin, separability, mechanics, operators, geometry
IdentifiersURN: urn:nbn:se:kth:diva-16393ISI: 000244281200028ScopusID: 2-s2.0-33947281430OAI: oai:DiVA.org:kth-16393DiVA: diva2:334435
QC 201005252010-08-052010-08-05Bibliographically approved