Optimal estimation of an observable's expectation value for pure states for general measure of deviation
Minoru Horibe, Akihisa Hayashi, Takaaki Hashimoto
Abstract
We investigate the optimal estimation of quantum expectation value of a physical observable, which minimizes a mean error with respect to general measure of deviation, when a finite number of copies of a pure state are prepared. If pure sates are uniformly distributed, the minimum value of mean error for any measure of deviation is achieved by projective measurement on each copy.
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