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Geometrical approach to mutually unbiased bases
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.ORCID iD: 0000-0002-2082-9583
2007 (English)In: Journal of Physics a-Mathematical and Theoretical, ISSN 1751-8113, Vol. 40, no 14, 3987-3998 p.Article in journal (Refereed) Published
Abstract [en]

We propose a unifying phase-space approach to the construction of mutually unbiased bases for a two-qubit system. It is based on an explicit classification of the geometrical structures compatible with the notion of unbiasedness. These consist of bundles of discrete curves intersecting only at the origin and satisfying certain additional properties. We also consider the feasible transformations between different kinds of curves and show that they correspond to local rotations around the Bloch-sphere principal axes. We suggest how to generalize the method to systems in dimensions that are powers of a prime.

Place, publisher, year, edition, pages
2007. Vol. 40, no 14, 3987-3998 p.
Keyword [en]
prime power dimensions, state determination, wigner functions, kings problem, finite, systems, separability, spaces, codes, weyl
URN: urn:nbn:se:kth:diva-16464DOI: 10.1088/1751-8113/40/14/014ISI: 000245038100014ScopusID: 2-s2.0-34547800260OAI: diva2:334506
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Björk, Gunnar
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