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arxiv: quant-ph/0609067 · v2 · pith:M66JIAUI · submitted 2006-09-08 · quant-ph

Simple proof of equivalence between adiabatic quantum computation and the circuit model

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keywords computationadiabaticquantumcircuitequivalencemodelprocedureamount
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We prove the equivalence between adiabatic quantum computation and quantum computation in the circuit model. An explicit adiabatic computation procedure is given that generates a ground state from which the answer can be extracted. The amount of time needed is evaluated by computing the gap. We show that the procedure is computationally efficient.

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