Even More Efficient Quantum Computations of Chemistry Through Tensor Hypercontraction

We describe quantum circuits with only O ~ ( N ) Toffoli complexity that block encode the spectra of quantum chemistry Hamiltonians in a basis of N arbitrary (e.g., molecular) orbitals. With O ( λ/ϵ ) repetitions of these circuits one can use phase estimation to sample in the molecular eigenbasis, w...

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Bibliographic Details
Published in:PRX quantum Vol. 2; no. 3; p. 030305
Main Authors: Lee, Joonho, Berry, Dominic W., Gidney, Craig, Huggins, William J., McClean, Jarrod R., Wiebe, Nathan, Babbush, Ryan
Format: Journal Article
Language:English
Published: United States American Physical Society (APS) 01.07.2021
American Physical Society
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ISSN:2691-3399, 2691-3399
Online Access:Get full text
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