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We show that $\Omega(rd/\epsilon)$ copies of an unknown rank-$r$, dimension-$d$ quantum mixed state are necessary in order to learn a classical description with $1 - \epsilon$ fidelity.
Optimal cloning of pure states
Reinhard F Werner · 1998
Earlier work this paper cites.
Optimal state estimation for d d -dimensional quantum systems
Dagmar Bruß and Chiara Macchiavello · 1999
Earlier work this paper cites.
Optimal cloning of pure states, testing single clones
Michael Keyl and Reinhard F Werner · 1999
Earlier work this paper cites.
Coding theorem and strong converse for quantum channels
Andreas Winter · 1999
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Efficient quantum tomography
Ryan O’Donnell and John Wright · 2016
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How to learn a quantum state
John Wright · 2016
Later among the works it cites.
Sample-optimal tomography of quantum states
Jeongwan Haah, Aram W Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu · 2017
Later among the works it cites.
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