Simulating quantum mechanics on a quantum computer

Details Simulating quantum mechanics on a quantum computer Simulating quantum mechanics on a quantum computer

1997-01-15

arxiv.org/abs/quant-ph/9701019v2

PhysicaD120:30-42,1998

Physics

Quantum Physics

22 pages LaTeX; Expanded version of a talk given by WT at the PhysComp '96 conference, BU, Boston MA, November 1996. Minor cor

Scientific paper

10.1016/S0167-2789(98)00042-6

Algorithms are described for efficiently simulating quantum mechanical systems on quantum computers. A class of algorithms for simulating the Schrodinger equation for interacting many-body systems are presented in some detail. These algorithms would make it possible to simulate nonrelativistic quantum systems on a quantum computer with an exponential speedup compared to simulations on classical computers. Issues involved in simulating relativistic systems of Dirac and gauge particles are discussed.

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