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- W4377009747 abstract "Measuring properties of quantum systems is a fundamental problem in quantum mechanics. We provide a very simple method for estimating expectation value of observables with an unknown quantum state. The idea is to sample the terms of the Pauli decomposition of observables proportionally to their importance. We call this technique operator shadow as a shorthand for the procedure preparing a sketch of an operator to estimate properties. For multiple local observables, the sample complexity of this method is better than the classical shadow technique only when the numbers of observables are small. However, if we want to estimate expectation values for linear combination of local observables, e.g., the energy of a local Hamiltonian, the sample complexity is better on all parameters." @default.
- W4377009747 created "2023-05-19" @default.
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- W4377009747 creator A5040132194 @default.
- W4377009747 date "2023-05-16" @default.
- W4377009747 modified "2023-09-29" @default.
- W4377009747 title "Estimating properties of a quantum state by importance-sampled operator shadows" @default.
- W4377009747 doi "https://doi.org/10.48550/arxiv.2305.09374" @default.
- W4377009747 hasPublicationYear "2023" @default.
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