Quantum 8, 1381 (2024). https://doi.org/10.22331/q-2024-06-20-1381 For quantum state tomography on rank-$r$ dimension-$d$ states, we show that $widetilde{O}(r^{.5}d^{1.5}/epsilon) leq widetilde{O}(d^2/epsilon)$ copies suffice for accuracy $epsilon$ with respect to (Bures) $chi^2$-divergence, and $widetilde{O}(rd/epsilon)$ copies suffice for accuracy […]

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