A family of generalized `pretty good' measurements and the minimal-error pure-state discrimination problems for which they are optimal

Carlos Mochon

A family of generalized `pretty good' measurements and the minimal-error pure-state discrimination problems for which they are optimal

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arxiv quant-ph/0506061 v3 pith:54ZFZZKT submitted 2005-06-07 quant-ph

Carlos Mochon This is my paper · ORCID

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Paper withdrawn. Results are similar to V. P. Belavkin, "Optimum distinction of non-orthogonal quantum signals," Radio Engineering and Electronic Physics, vol. 20, June 1975, p. 39-47.

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Near-optimal performance of square-root measurement for general score functions and quantum ensembles
quant-ph 2025-05 accept novelty 7.0 of 10

For any quantum ensemble and any positive score function, the optimal expected gain is no larger than the square root of the gain of the generalized pretty good measurement, implying a two-fold mean-square-error bound...

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