An Improved Sample Complexity Lower Bound for (Fidelity) Quantum State Tomography
|Published:||2023-01-03, volume 7, page 890|
|Citation:||Quantum 7, 890 (2023).|
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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. This improves upon the tomography lower bounds obtained by Haah, et al. and Wright (when closeness is measured with respect to the fidelity function).
► BibTeX data
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