Mixed state discrimination using optimal control

Physics – Quantum Physics

Scientific paper

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Corrected ref 1 date; 4 pages & 4 figures + 2 pages & 3 figures supplementary material

Scientific paper

10.1103/PhysRevLett.103.220503

We present theory and experiment for the task of discriminating two nonorthogonal states, given multiple copies. We implement several local measurement schemes, on both pure states and states mixed by depolarizing noise. We find that schemes which are optimal (or have optimal scaling) without noise perform worse with noise than simply repeating the optimal single-copy measurement. Applying optimal control theory, we derive the globally optimal local measurement strategy, which outperforms all other local schemes, and experimentally implement it for various levels of noise.

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