Abstract
We investigate an symmetric set of three quantum states in three dimensions with 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 counter-example to a conjecture of Levitin.
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© 2002 Kluwer Academic Publishers
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Shor, P.W. (2002). ON the Number of Elements Needed in a POVM Attaining the Accessible Information. In: Tombesi, P., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 3. Springer, Boston, MA. https://doi.org/10.1007/0-306-47114-0_16
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DOI: https://doi.org/10.1007/0-306-47114-0_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46609-0
Online ISBN: 978-0-306-47114-8
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