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Phys. Rev. Lett. 87, 257901 (2001) [4 pages]

Portfolios of Quantum Algorithms

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Sebastian M. Maurer
Physics Department, Stanford University, Stanford, California 94043

Tad Hogg and Bernardo A. Huberman
HP Labs, Palo Alto, California 94304

Received 25 June 2001; published 27 November 2001

See accompanying Physics Focus

Quantum computation holds promise for the solution of many intractable problems. However, since many quantum algorithms are stochastic in nature they can find the solution of hard problems only probabilistically. Thus the efficiency of the algorithms has to be characterized by both 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 as 3-satisfiability.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.257901
DOI:
10.1103/PhysRevLett.87.257901
PACS:
03.67.Lx, 02.70.Rr, 89.65.Gh