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Solution to Satisfiability problem by a complete Grover search with trapped ions

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arxiv 0811.2905 v1 pith:HZJHJPTG submitted 2008-11-18 quant-ph

classification quant-ph
keywords searchstategroverquantumtargetcircuitscompleteoracle
verification ladder T0 review T1 audit T2 compute T3 formal

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The main idea in the original Grover search (Phys. Rev. Lett. 79, 325 (1997)) is to single out a target state containing the solution to a search problem by amplifying the amplitude of the state, following the Oracle's job, i.e., a black box giving us information about the target state. We design quantum circuits to accomplish a complete Grover search involving both the Oracle's job and the amplification of the target state, which are employed to solve Satisfiability (SAT) problems. We explore how to carry out the quantum circuits by currently available ion-trap quantum computing technology.

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