TY - JOUR
T1 - Simulating Hamiltonian dynamics with a truncated Taylor series
JF - Physical Review Letters
Y1 - 2015
A1 - Dominic W. Berry
A1 - Andrew M. Childs
A1 - Richard Cleve
A1 - Robin Kothari
A1 - Rolando D. Somma
AB - 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 to directly apply the truncated Taylor series.
VL - 114
U4 - 090502
UR - http://arxiv.org/abs/1412.4687v1
CP - 9
J1 - Phys. Rev. Lett.
U5 - 10.1103/PhysRevLett.114.090502
ER -