Author

John Wright

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Jul 2026

Online Shadow Tomography Matching the Classical Bounds

In Online Shadow Tomography, we are given copies of an unknown $d$-dimensional quantum state $\rho$, an adversary (adaptively) proposes a sequence of bounded observables $A^{(1)},\ldots,A^{(m)}$, and after each $A^{(t)}$ is given we must estimate $\mathrm{Tr}(A^{(t)}\rho)$ to within $\pm \epsilon$. This is the direct q...

Sitan Chen, R. O'Donnell, Angelos Pelecanos et al. · arXiv.org · 1 citation · ⚡1

Jul 2026

The Keyl-Werner algorithm is not optimal for spectrum estimation

We give an algorithm which, given $n = O(d^2 \cdot (\log\log(d)/\log(d))^2)$ copies of $\rho$, estimates the eigenvalues of $\rho$ to constant error in total variation distance. Thus, we can learn the eigenvalues of a quantum state with fewer copies than the $\Theta(d^2)$ needed to run full state tomography. This is th...

Angelos Pelecanos, Jack Spilecki, Ewin Tang et al. · arXiv.org · 5 citations · ⚡5