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Xing-Yu Zhou

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Preprint Sep 2026

Optimal Low-Rank Quantum State Tomography with Bounded-Sample Joint Measurements

We determine the optimal sample complexity of low-rank quantum state tomography when each measurement may act jointly on at most $t$ samples. For sufficiently small $\varepsilon$, estimating an unknown state on $\mathbb{C}^d$ of rank at most $r$ to trace norm error $\varepsilon$ with constant success probability requir...

A. Nayak, Xing-Yu Zhou · 4 citations · ⚡1
#machine learning Preprint Sep 2026

Optimal Low-Rank Quantum State Tomography with Bounded-Sample Joint Measurements

We determine the optimal sample complexity of low-rank quantum state tomography when each measurement may act jointly on at most $t$ samples. For sufficiently small $\varepsilon$, estimating an unknown state on $\mathbb{C}^d$ of rank at most $r$ to trace norm error $\varepsilon$ with constant success probability requir...

A. Nayak, Xing-Yu Zhou · 3 citations

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