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Adaptive Pauli Shadows for Energy Estimation · Around

2021

Adaptive Pauli Shadows for Energy Estimation

Hadfield, Charles

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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.

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Shadow tomography of quantum states
Scott Aaronson · 2020
Earlier work this paper cites.
Predicting many properties of a quantum system from very few measurements
Hsin-Yuan Huang, Richard Kueng, and John Preskill · 2020
Earlier work this paper cites.

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