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Sebastian Maurer, Tad Hogg and Bernardo A. Huberman

HP Laboratories
Palo Alto, CA 94304

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 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 as3-SAT.

Full paper: shortqu.pdf

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