Simulating Hamiltonian dynamics with a truncated Taylor series

Physical Review Letters
Dominic W BerryRolando D Somma

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.

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Citations

Jul 22, 2015·ACS Nano·Richard P Muller, Robin Blume-Kohout
Jul 29, 2016·Scientific Reports·Shi-Jie WeiGui-Lu Long
Apr 20, 2017·Scientific Reports·Peter Wittek, Christian Gogolin
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Jan 1, 2021·The Journal of Physical Chemistry Letters·Eric A Walker, Shreyas Addamane Pallathadka

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