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Optimal parameter estimation of a depolarizing channel

Ban, Masashi and Barnett, Stephen M. and Sasaki, Masahide (2002) Optimal parameter estimation of a depolarizing channel. Physical Review A, 66 (2). 022308-1. ISSN 1094-1622

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We investigate strategies for estimating a depolarizing channel for a finite dimensional system. Our analysis addresses the double optimization problem of selecting the best input probe state and the measurement strategy that minimizes the Bayes cost of a quadratic function. In the qubit case, we derive the Bayes optimal strategy for any finite number of input probe particles when bipartite entanglement can be formed in the probe particles.