9702039v4

related topics
{state, algorithm, problem}
{algorithm, log, probability}
{energy, state, states}
{time, systems, information}
{level, atom, field}
{field, particle, equation}
{wave, scattering, interference}
{cavity, atom, atoms}
{spin, pulse, spins}
{trap, ion, state}
{state, phys, rev}

Tailoring Many-Body Interactions to Solve Hard Combinatorial Problems

Haiqing Wei, Xin Xue

abstract: A quantum machine consisting of interacting linear clusters of atoms is proposed for the 3SAT problem. Each cluster with two relevant states of collective motion can be used to register a Boolean variable. Given any 3SAT Boolean formula the interactions among the clusters can be so tailored that the ground state(s) (possibly degenerate) of the whole system encodes the satisfying truth assignment(s) for it. This relates the 3SAT problem to the dynamics of the properly designed glass system.

oai_identifier:
oai:arXiv.org:quant-ph/9702039
categories:
quant-ph
comments:
Latex 7 pages, 3 ps figures
arxiv_id:
quant-ph/9702039
created:
1997-02-20
updated:
1997-07-07

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