Finding optimal strategies for minimum-error quantum-state discrimination
arXiv:quant-ph/0201109 · doi:10.1103/PhysRevA.65.060301
Abstract
We propose a numerical algorithm for finding optimal measurements for quantum-state discrimination. The theory of the semidefinite programming provides a simple check of the optimality of the numerically obtained results.
4 pages, 2 figures
References in corpus (3)
Cited by in corpus (54)
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- Optimal Observables for Minimum-Error State Discrimination in General Probabilistic Theories
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- Finding optimal solutions for generalized quantum state discrimination problems
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