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It is a fundamental problem to decide how many copies of an unknown mixed quantum state are necessary and sufficient to determine the state. This is the quantum analogue of the problem of estimating a probability distribution given some number of samples.
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Jeongwan Haah
Microsoft (United States)
Aram W. Harrow
Instituto de Física Teórica
Zhengfeng Ji
Tsinghua University
Massachusetts Institute of Technology
Chinese Academy of Sciences
University of Waterloo
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Haah et al. (Fri,) studied this question.
synapsesocial.com/papers/6a010c47831589f3542dfd2e — DOI: https://doi.org/10.1145/2897518.2897585