Higher-Order Methods for Quantum Simulations

Details Higher-Order Methods for Quantum Simulations Higher-Order Methods for Quantum Simulations

1998-09-04

arxiv.org/abs/quant-ph/9809009v1

Phys.Rev. A60 (1999) 156-1965

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

To efficiently implement many-particle quantum simulations on quantum
computers we develop and present methods for inverting the
Campbell-Baker-Hausdorff lemma to 3rd and 4th order in the commutator. That is,
we reexpress exp{-i(H_1 + H_2 + ...)dt} as a product of factors exp(-i H_1 dt),
exp(-i H_2 dt), ... which is accurate to 3rd or 4th order in dt.

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