A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6

Philippe Jaming, M. Matolcsi, Péter Móra, Ferenc Szöllosi, Mihály Weiner

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We exhibit an infinite family of triplets of mutually unbiased bases (MUBs) in dimension 6. These triplets involve the Fourier family of Hadamard matrices, F(a, b). However, in the main result of this paper we also prove that for any values of the parameters (a, b), the standard basis and F(a, b) cannot be extended to a MUB-quartet. The main novelty lies in the method of proof which may successfully be applied in the future to prove that the maximal number of MUBs in dimension 6 is three.

Original languageEnglish
Article number245305
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number24
DOIs
Publication statusPublished - 2009

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Hadamard matrices
Mutually Unbiased Bases
Standard Basis
Hadamard Matrix
matrices
Family

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

Cite this

A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6. / Jaming, Philippe; Matolcsi, M.; Móra, Péter; Szöllosi, Ferenc; Weiner, Mihály.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 24, 245305, 2009.

Research output: Contribution to journalArticle

Jaming, Philippe ; Matolcsi, M. ; Móra, Péter ; Szöllosi, Ferenc ; Weiner, Mihály. / A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6. In: Journal of Physics A: Mathematical and Theoretical. 2009 ; Vol. 42, No. 24.
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