We investigate a symmetric set of three quantum states in three dimensions having interesting properties, which we call the lifted trine states. We show that for the ensemble consisting of the three lifted trine states taken with equal probabilities, the POVM measurement realizing the accessible information must contain six projectors, giving a counterexample to a conjecture of Levitin.
CITATION STYLE
Shor, P. W. (2006). ON the Number of Elements Needed in a POVM Attaining the Accessible Information. In Quantum Communication, Computing, and Measurement 3 (pp. 107–114). Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47114-0_16
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