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

Roberto Beneduci; Thomas Joseph Bullock; Paul Busch; Claudio Carmeli; Teiko Heinosaari; Alessandro Toigo

doi:10.1103/PhysRevA.88.032312

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

Roberto Beneduci, Thomas Joseph Bullock, Paul Busch, Claudio Carmeli, Teiko Heinosaari, Alessandro Toigo

Mathematics

Research output: Contribution to journal › Article › peer-review

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 exists in dimension 6.

Original language	English
Article number	032312
Pages (from-to)	1-15
Number of pages	15
Journal	Physical Review A
Volume	88
Issue number	3
Early online date	13 Sept 2013
DOIs	https://doi.org/10.1103/PhysRevA.88.032312
Publication status	Published - 13 Sept 2013

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10.1103/PhysRevA.88.032312

http://pra.aps.org/abstract/PRA/v88/i3/e032312

Teiko Heinosaari
Paul Busch (Host)
3 Feb 2013 → 8 Feb 2013
Activity: Hosting a visitor › Academic
Roberto Beneduci
Paul Busch (Host)
27 Jan 2013 → 5 Feb 2013
Activity: Hosting a visitor › Academic
Univ Turku, Turku Ctr Quantum Phys, Dept Phys & Astron
Paul Busch (Researcher)
8 Sept 2012 → 16 Sept 2012
Activity: Visiting an external institution › Academic

Cite this

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title = "Operational link between mutually unbiased bases and symmetric informationally complete positive operator-valued measures",

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 exists in dimension 6.",

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AU - Toigo, Alessandro

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DO - 10.1103/PhysRevA.88.032312

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

Abstract

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Activities

Teiko Heinosaari

Roberto Beneduci

Univ Turku, Turku Ctr Quantum Phys, Dept Phys & Astron

Cite this