0105071v2

related topics
{state, algorithm, problem}
{algorithm, log, probability}
{measurement, state, measurements}
{phase, path, phys}
{cos, sin, state}
{vol, operators, histories}

Quantum Portfolios

Sebastian Maurer, Tad Hogg, Bernardo Huberman

abstract: Quantum computation holds promise for the solution of many intractable problems. However, since many quantum algorithms are stochastic in nature they can only find the solution of hard problems probabilistically. Thus the efficiency of the algorithms has to be characterized both by the expected time to completion {\it and} the associated variance. In order to minimize both the running time and its uncertainty, we show that portfolios of quantum algorithms analogous to those of finance can outperform single algorithms when applied to the NP-complete problems such as 3-SAT.

oai_identifier:
oai:arXiv.org:quant-ph/0105071
categories:
quant-ph
comments:
revision includes additional data and corrects minor typos
doi:
10.1103/PhysRevLett.87.257901
arxiv_id:
quant-ph/0105071
journal_ref:
Physical Review Letters 87, 257901 (2001)
created:
2001-05-15
updated:
2001-06-22

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