A quantum differentiation of k-SAT instances

Details A quantum differentiation of k-SAT instances A quantum differentiation of k-SAT instances

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12g5028t&link_type=abstract

New Journal of Physics, Volume 12, Issue 7, pp. 075028 (2010).

Physics

Scientific paper

We present a quantum adiabatic algorithm to differentiate between k-SAT instances, those with no solutions and those that have many solutions. The time complexity of the algorithm is a function of the energy gap between the subspace of all 0-eigenvectors (ground states) and the first excited states manifold, and scales polynomially with the number of resources. The idea of gaps between subspaces suggests a new tool to analyze time complexity in adiabatic quantum machines.

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