Simulating hamiltonian dynamics with a truncated taylor series

Dominic W. Berry; Andrew M. Childs; Richard Cleve; Robin Kothari; Rolando D. Somma

doi:10.1103/PhysRevLett.114.090502

Simulating hamiltonian dynamics with a truncated taylor series

Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, Rolando D. Somma

Macquarie University Research Centre in Quantum Science and Technology

Research output: Contribution to journal › Article › peer-review

573 Citations (Scopus)

154 Downloads (Pure)

Abstract

We describe a simple, efficient method for simulating Hamiltonian dynamics on a quantum computer by approximating the truncated Taylor series of the evolution operator. Our method can simulate the time evolution of a wide variety of physical systems. As in another recent algorithm, the cost of our method depends only logarithmically on the inverse of the desired precision, which is optimal. However, we simplify the algorithm and its analysis by using a method for implementing linear combinations of unitary operations together with a robust form of oblivious amplitude amplification.

Original language	English
Article number	090502
Pages (from-to)	1-5
Number of pages	5
Journal	Physical Review Letters
Volume	114
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevLett.114.090502
Publication status	Published - 3 Mar 2015

Bibliographical note

Berry, D. W., Childs, A. M., Cleve, R., Kothari, R., & Somma, R. D. (2015). Simulating Hamiltonian dynamics with a truncated Taylor series. Physical review letters, 114(9), 090502. Copyright 2015 by the American Physical Society. The original article can be found at http://dx.doi.org/10.1103/PhysRevLett.114.090502.

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Simulating hamiltonian dynamics with a truncated taylor series

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