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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number032312
Pages (from-to)1-15
Number of pages15
JournalPhysical Review A
Volume88
Issue number3
Early online date13 Sept 2013
DOIs
Publication statusPublished - 13 Sept 2013

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