May 15, 2024, 4:43 a.m. | Daniel Grier, Hakop Pashayan, Luke Schaeffer

cs.LG updates on arXiv.org arxiv.org

arXiv:2211.11810v2 Announce Type: replace-cross
Abstract: We consider the classical shadows task for pure states in the setting of both joint and independent measurements. The task is to measure few copies of an unknown pure state $\rho$ in order to learn a classical description which suffices to later estimate expectation values of observables. Specifically, the goal is to approximate $\mathrm{Tr}(O \rho)$ for any Hermitian observable $O$ to within additive error $\epsilon$ provided $\mathrm{Tr}(O^2)\leq B$ and $\lVert O \rVert = 1$. Our …

abstract arxiv cs.it cs.lg independent learn math.it quant-ph replace sample state type values

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