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We introduce a simple protocol for adaptive quantum state tomography, which reduces the worst-case infidelity between the estimate and the true state from $O(N^{-1/2})$ to $O(N^{-1})$.
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Remarkably, for large N N , local measurements can discriminate almost as well as joint measurements on all N N samples. If D Q D_{Q} and D C D_{C} are the optimal error exponents for joint and local measurements (respectively), then ( 1 − F ) / 2 ≤ D C ≤ D Q ≤ 1 − F (1-F)/2\leq D_{C}\leq D_{Q}\leq 1-F Calsamiglia et al. 2008
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