Higher-order methods for simulations on quantum computers

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To implement many-qubit gates for use in quantum simulations on quantum computers efficiently, we develop and present methods reexpressing exp[-i(H-1+H-2+...)Delta t] as a product of factors exp[-iH(1)Delta t], exp[-iH(2)Delta t],..., which is accurate to third or fourth order in Delta t. 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. [S1050-2947(99)07209-1].
Publisher
AMERICAN PHYSICAL SOC
Issue Date
1999-09
Language
English
Article Type
Article
Keywords

MANY-BODY THEORIES; MECHANICS; PHYSICS; SYSTEMS

Citation

PHYSICAL REVIEW A, v.60, no.3, pp.1956 - 1965

ISSN
1050-2947
DOI
10.1103/PhysRevA.60.1956
URI
http://hdl.handle.net/10203/68390
Appears in Collection
PH-Journal Papers(저널논문)
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