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A modified quantum adiabatic evolution for the Deutsch-Jozsa problem

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arxiv quant-ph/0512008 v2 pith:6X2FSTTM submitted 2005-12-01 quant-ph

A modified quantum adiabatic evolution for the Deutsch-Jozsa problem

classification quant-ph
keywords adiabaticevolutionalgorithmdeutsch-jozsamodifiedquantumalgorithmsbeen
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Deutsch-Jozsa algorithm has been implemented via a quantum adiabatic evolution by S. Das et al. [Phys. Rev. A 65, 062310 (2002)]. This adiabatic algorithm gives rise to a quadratic speed up over classical algorithms. We show that a modified version of the adiabatic evolution in that paper can improve the performance to constant time.

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