9701019v2

related topics
{state, algorithm, problem}
{field, particle, equation}
{qubit, qubits, gate}
{energy, state, states}
{operator, operators, space}
{algorithm, log, probability}
{time, decoherence, evolution}
{group, space, representation}
{time, systems, information}
{cos, sin, state}

Simulating quantum mechanics on a quantum computer

Bruce M. Boghosian, Washington Taylor

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/9701019
categories:
quant-ph comp-gas hep-lat hep-th nlin.CG
comments:
22 pages LaTeX; Expanded version of a talk given by WT at the PhysComp '96 conference, BU, Boston MA, November 1996. Minor corrections made, references added
doi:
10.1016/S0167-2789(98)00042-6
arxiv_id:
quant-ph/9701019
journal_ref:
PhysicaD120:30-42,1998
report_no:
BU-CCS-970103, PUPT-1678
created:
1997-01-15
updated:
1997-03-08

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