Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity

We construct quantum circuits that exactly encode the spectra of correlated electron models up to errors from rotation synthesis. By invoking these circuits as oracles within the recently introduced “qubitization” framework, one can use quantum phase estimation to sample states in the Hamiltonian ei...

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Bibliographic Details
Main Authors: Ryan Babbush, Craig Gidney, Dominic W. Berry, Nathan Wiebe, Jarrod McClean, Alexandru Paler, Austin Fowler, Hartmut Neven
Format: Article
Language:English
Published: American Physical Society 2018-10-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.8.041015