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      Simulating Hamiltonian dynamics with a truncated Taylor series

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          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 to directly apply the truncated Taylor series.

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          Author and article information

          Journal
          15 December 2014
          Article
          10.1103/PhysRevLett.114.090502
          1412.4687
          821b90b6-9b9c-4e5f-b2d9-77256e39cd0e

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          LA-UR-14-22745, MIT-CTP #4618
          Phys. Rev. Lett. 114, 090502 (2015)
          5 pages
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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