The Quantum Pyramids Conjecture
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Statement
Englert and Rehacek conjectured which measurement is globally information-optimal for an ensemble of equiangular equiprobable pure states. Their conjecture holds, via the remaining entropy inequalities of Holevo and Utkin.
Context
A named conjecture on optimal measurements for equiangular ensembles, open since 2009 in quantum state discrimination.
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The acknowledgement credits the model with calculations used to prove the technical lemmas in the appendix.
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