Optimal estimation of an observable's expectation value for pure states for general measure of deviation

Details Optimal estimation of an observable's expectation value for pure states for general measure of deviation Optimal estimation of an observable's expectation value for pure states for general measure of deviation

2006-10-03

arxiv.org/abs/quant-ph/0610014v1

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

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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