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Phys. Rev. A 72, 052316 (2005) [8 pages]

Solving satisfiability problems by the ground-state quantum computer

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Wenjin Mao*
Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA and 20 Hearthstone Drive, Edison, New Jersey 08820, USA

Received 28 November 2004; published 17 November 2005

A quantum algorithm is proposed to solve the satisfiability (SAT) problems by the ground-state quantum computer. The scale of the energy gap of the ground-state quantum computer is analyzed for the 3-bit exact cover problem. The time cost of this algorithm on the general SAT problems is discussed.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.052316
DOI:
10.1103/PhysRevA.72.052316
PACS:
03.67.Lx

*Electronic address: maowj@yahoo.com