Higher-order methods for simulations on quantum computers

A. T. Sornborger and E. D. Stewart
Phys. Rev. A 60, 1956 – Published 1 September 1999
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Abstract

To implement many-qubit gates for use in quantum simulations on quantum computers efficiently, we develop and present methods reexpressing exp[i(H1+H2+)Δt] as a product of factors exp[iH1Δt], exp[iH2Δt],, which is accurate to third or fourth order in Δt. The methods we derive are an extended form of the symplectic method, and can also be used for an integration of classical Hamiltonians on classical computers. We derive both integral and irrational methods, and find the most efficient methods in both cases.

  • Received 23 March 1999

DOI:https://doi.org/10.1103/PhysRevA.60.1956

©1999 American Physical Society

Authors & Affiliations

A. T. Sornborger and E. D. Stewart

  • NASA/Fermilab Astrophysics Group, Fermi National Accelerator Laboratory, Box 500, Batavia, Illinois 60510-0500

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Issue

Vol. 60, Iss. 3 — September 1999

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