Higher Order Methods for Simulations on Quantum Computers

Details Higher Order Methods for Simulations on Quantum Computers Higher Order Methods for Simulations on Quantum Computers

1999-03-15

arxiv.org/abs/quant-ph/9903055v1

Phys.Rev. A60 (1999) 1956

Physics

Quantum Physics

21 pages, Latex, one figure

Scientific paper

10.1103/PhysRevA.60.1956

To efficiently implement many-qubit gates for use in quantum simulations on quantum computers we develop and present methods reexpressing exp[-i (H_1 + H_2 + ...) \Delta t] as a product of factors exp[-i H_1 \Delta t], exp[-i H_2 \Delta t], ... which is accurate to 3rd or 4th order in \Delta t. The methods we derive are an extended form of symplectic method and can also be used for the integration of classical Hamiltonians on classical computers. We derive both integral and irrational methods, and find the most efficient methods in both cases.

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