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arXiv · 1306.6002

An operational link between MUBs and SICs

Roberto Beneduci·Tom Bullock·Paul Busch·Claudio Carmeli·Teiko Heinosaari·Alessandro Toigo
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Abstract

We exhibit an operational connection between mutually unbiased bases and symmetric infomationally 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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Roberto Beneduci, Tom Bullock, Paul Busch, Claudio Carmeli, Teiko Heinosaari, Alessandro Toigo. 2013-09-24. An operational link between MUBs and SICs. https://doi.org/10.1103/physreva.88.032312

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