Unbiased extremal rank-one measurements generate characterized randomness in dimension 2, with tetrahedral SIC having the least, and SICs achieve maximal 2 log d randomness device-dependently in dimensions where they exist.
Maximum Confidence Quantum Measurements
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abstract
We consider the problem of discriminating between states of a specified set with maximum confidence. For a set of linearly independent states unambiguous discrimination is possible if we allow for the possibility of an inconclusive result. For linearly dependent sets an analogous measurement is one which allows us to be as confident as possible that when a given state is identified on the basis of the measurement result, it is indeed the correct state.
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2026 1verdicts
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Quantum randomness beyond projective measurements
Unbiased extremal rank-one measurements generate characterized randomness in dimension 2, with tetrahedral SIC having the least, and SICs achieve maximal 2 log d randomness device-dependently in dimensions where they exist.