Efficient algorithm for a quantum analogue of 2-SAT

dc.creatorBravyi, Sergey
dc.date2006-02-14
dc.date.accessioned2026-07-07T07:04:18Z
dc.date.available2026-07-07T07:04:18Z
dc.descriptionComplexity of a quantum analogue of the satisfiability problem is studied. Quantum k-SAT is a problem of verifying whether there exists n-qubit pure state such that its k-qubit reduced density matrices have support on prescribed subspaces. We present a classical algorithm solving quantum 2-SAT in a polynomial time. It generalizes the well-known algorithm for the classical 2-SAT. Besides, we show that for any k>=4 quantum k-SAT is complete in the complexity class QMA with one-sided error.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0602108
dc.identifierhttp://arxiv.org/abs/quant-ph/0602108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109311
dc.subjectQuantum Physics
dc.titleEfficient algorithm for a quantum analogue of 2-SAT
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