Adaptive Pauli Shadows for Energy Estimation

Abstract

Locally-biased classical shadows allow rapid estimation of energies of quantum Hamiltonians. Recently, derandomised classical shadows have emerged claiming to be even more accurate. This accuracy comes at a cost of introducing classical computing resources into the energy estimation procedure. This present note shows, by adding a fraction of this classical computing resource to the locally-biased classical shadows setting, that the modified algorithm, termed Adaptive Pauli Shadows is state-of-the-art for energy estimation.

arXiv comment4 pages, comments welcome

References in corpus (2)

• Efficient estimation of Pauli observables by derandomization
• Classical Shadows With Noise

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