Phys. Rev. A 60, 1956–1965 (1999)Higher-order methods for simulations on quantum computersReceived 23 March 1999; published in the issue dated September 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.1956
DOI:
10.1103/PhysRevA.60.1956
PACS:
03.67.Lx, 05.10.-a, 45.10.-b, 46.15.-x
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.