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Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 21: Poster I

Q 21.48: Poster

Tuesday, March 9, 2010, 16:00–19:00, Lichthof

Construction of complete sets of cyclic mutually unbiased basesOliver Kern1, Kedar Ranade1,2, •Ulrich Seyfarth1, and Gernot Alber11Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany — 2Institut für Quantenphysik, Universität Ulm, Albert-Einstein-Allee 11, 89069 Ulm, Germany

Complete sets of mutually unbiased bases (MUBs) have interesting applications in quantum information science. The quantum cryptographic six-state protocol, for example, relies on a special kind of complete set of MUBs. Contrary to general complete sets of MUBs [1,2] it has the additional property of being cyclic, i.e. all bases involved are generated from one particular basis by multiple applications of a single unitary transformation. In this contribution details of a recently developed method [3] are presented which allows to construct complete sets of cyclic mutually unbiased bases in even prime power dimensions. The relevance of these complete sets of cyclic MUBs for security bounds of quantum cryptographic protocols are discussed. This work was supported by CASED.

[1] A. Klappenecker and M.Rötteler, LNCS 2948, 262 (2004)

[2] R. Gow, arXiv:math/0703333v2

[3] O.Kern, K. Ranade and U.Seyfarth, in preparation

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