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Adaptive Pauli Shadows for Energy Estimation

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arxiv 2105.12207 v1 pith:CGQLLNIE submitted 2021-05-25 quant-ph

classification quant-ph
keywords classicalshadowsestimationenergyadaptivecomputinglocally-biasedpauli
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Improved Classical Shadow Tomography Using Quantum Computation

    quant-ph 2025-05 conditional novelty 6.0 of 10

    A quantum-to-classical-to-quantum protocol prepares states from classical shadows and measures observables directly, achieving exponential space savings for Clifford shadows and faster post-processing.

  2. Quantum Measurement for Quantum Chemistry on a Quantum Computer

    quant-ph 2025-01 accept novelty 3.0 of 10

    This review organizes quantum measurement techniques for quantum chemistry into three cost categories: VQE-era Hamiltonian partitioning, classical shadows, POVM-based schemes, and quantum phase estimation inspired met...

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