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Adaptive Pauli Shadows for Energy Estimation
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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 4 Pith papers
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Optimal strategies for shadow tomography with limited resources
For shadow tomography of Pauli observables, the optimal sample complexity is often the reciprocal fractional chromatic number of the frustration graph, achievable by Clifford measurements.
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Improved Classical Shadow Tomography Using Quantum Computation
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.
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Classical Shadows with Improved Median-of-Means Estimation
Applying Minsker's tighter median-of-means estimator with incomplete U-statistics to classical shadows improves sample efficiency for Clifford measurements but not for Pauli measurements.
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Quantum Measurement for Quantum Chemistry on a Quantum Computer
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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