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Three Quantum Algorithms to Solve 3-SAT
dc.creator | Leporati, Alberto | |
dc.creator | Felloni, Sara | |
dc.date.accessioned | 2016-03-11T08:34:45Z | |
dc.date.available | 2016-03-11T08:34:45Z | |
dc.date.issued | 2006 | |
dc.identifier.isbn | 8461106814 | es |
dc.identifier.uri | http://hdl.handle.net/11441/38392 | |
dc.description.abstract | We propose three quantum algorithms to solve the 3-SAT NP-complete decision problem. The first algorithm builds, for any instance Á of 3-SAT, a quantum Fredkin circuit that computes a superposition of all classical evaluations of Á in a given output line. Similarly, the second and third algorithms compute the same superposition on a given register of a quantum register machine, and as the energy of a given membrane in a quantum P system, respectively. Assuming that a specific non-unitary operator, built using the well known creation and annihilation operators, can be realized as a quantum gate, as an instruction of the quantum register machine, and as a rule of the quantum P system, respectively, we show how to decide whether Á is a positive instance of 3-SAT. The construction relies also upon the assumption that an external observer is able to distinguish, as the result of a measurement, between a null and a non-null vector. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Fénix Editora | es |
dc.relation.ispartof | Proceedings of the Fourth Brainstorming Week on Membrane Computing, Vol.II, 137-159. Sevilla, E.T.S. de Ingeniería Informática, 30 de Enero-3 de Febrero, 2006 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Three Quantum Algorithms to Solve 3-SAT | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/38392 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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quantumnp.pdf | 257.7Kb | [PDF] | Ver/ | |