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arXiv · quant-ph/0609067

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

Ari Mizel·Daniel A. Lidar·Morgan Mitchell
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Abstract

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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Ari Mizel, Daniel A. Lidar, Morgan Mitchell. 2007-02-26. Simple proof of equivalence between adiabatic quantum computation and the circuit model. https://doi.org/10.1103/physrevlett.99.070502

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