Phys. Rev. A 88, 032312 (2013) - Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures

Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures

Roberto Beneduci, Thomas J. Bullock, Paul Busch, Claudio Carmeli, Teiko Heinosaari, and Alessandro Toigo

Phys. Rev. A 88, 032312 – Published 13 September 2013

Abstract

We exhibit an operational connection between mutually unbiased bases and symmetric informationally complete positive operator-valued measures. Assuming that the latter exists, we show that there is a strong link between these two structures in all prime power dimensions. We also demonstrate that a similar link cannot exist in dimension 6.

Received 25 June 2013

DOI:https://doi.org/10.1103/PhysRevA.88.032312

©2013 American Physical Society

Authors & Affiliations

Roberto Beneduci^*

Dipartimento di Matematica, Università della Calabria, Cosenza, and INFN gruppo collegato Cosenza, Cosenza, Italy

Thomas J. Bullock^† and Paul Busch^‡

Department of Mathematics, University of York, York, United Kingdom

Claudio Carmeli^§

D.I.M.E., Università di Genova, Savona, Italy

Teiko Heinosaari^∥

Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, Finland

Alessandro Toigo^¶

Dipartimento di Matematica, Politecnico di Milano, Milano, and I.N.F.N., Sezione di Milano, Italy

^*roberto.beneduci@unical.it
^†tjb525@york.ac.uk
^‡paul.busch@york.ac.uk
^§claudio.carmeli@gmail.com
^∥teiko.heinosaari@utu.fi
^¶alessandro.toigo@polimi.it

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Issue

Vol. 88, Iss. 3 — September 2013

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