Classical shadows with symmetries

F Sauvage, M Larocca - arxiv preprint arxiv:2408.05279, 2024 - arxiv.org
Classical shadows (CS) have emerged as a powerful way to estimate many properties of
quantum states based on random measurements and classical post-processing. In their …

Classical Shadows with Improved Median-of-Means Estimation

W Fu, DE Koh, ST Goh, JF Kong - arxiv preprint arxiv:2412.03381, 2024 - arxiv.org
The classical shadows protocol, introduced by Huang et al.[Nat. Phys. 16, 1050 (2020)],
makes use of the median-of-means (MoM) estimator to efficiently estimate the expectation …

High-Dimensional Subspace Expansion Using Classical Shadows

G Boyd, B Koczor, Z Cai - arxiv preprint arxiv:2406.11533, 2024 - arxiv.org
We introduce a post-processing technique for classical shadow measurement data that
enhances the precision of ground state estimation through high-dimensional subspace …