Higher-order methods for simulations on quantum computers

A. T. Sornborger, E. D. Stewart

Research output: Contribution to journalArticlepeer-review

73 Scopus citations

Abstract

To implement many-qubit gates for use in quantum simulations on quantum computers efficiently, we develop and present methods reexpressing [Formula Presented] as a product of factors [Formula Presented] [Formula Presented], which is accurate to third or fourth order in [Formula Presented]. 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.

Original languageEnglish
Pages (from-to)1956-1965
Number of pages10
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume60
Issue number3
DOIs
StatePublished - 1999
Externally publishedYes

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