Clock quantum Monte Carlo technique: An imaginary-time method for real-time quantum dynamics

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Clock quantum Monte Carlo technique: An imaginary-time method for real-time quantum dynamics

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Title: Clock quantum Monte Carlo technique: An imaginary-time method for real-time quantum dynamics
Author: McClean, Jarrod Ryan; Aspuru-Guzik, Alan

Note: Order does not necessarily reflect citation order of authors.

Citation: McClean, Jarrod R., and Alán Aspuru-Guzik. 2015. “Clock Quantum Monte Carlo Technique: An Imaginary-Time Method for Real-Time Quantum Dynamics.” Physical Review A 91 (1) (January). doi:10.1103/physreva.91.012311.
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Abstract: In quantum information theory, there is an explicit mapping between general unitary dynamics and Hermitian ground-state eigenvalue problems known as the Feynman-Kitaev clock Hamiltonian. A prominent family of methods for the study of quantum ground states is quantum Monte Carlo methods, and recently the full configuration interaction quantum Monte Carlo (FCIQMC) method has demonstrated great promise for practical systems. We combine the Feynman-Kitaev clock Hamiltonian with FCIQMC to formulate a technique for the study of quantum dynamics problems. Numerical examples using quantum circuits are provided as well as a technique to further mitigate the sign problem through time-dependent basis rotations. Moreover, this method allows one to combine the parallelism of Monte Carlo techniques with the locality of time to yield an effective parallel-in-time simulation technique.
Published Version: doi:10.1103/physreva.91.012311
Other Sources: http://arxiv.org/pdf/1410.1877v1.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:23671928
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