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Direct mapping of quantum circuits to adiabatic algorithms

Year: 2004
Type: preprint
Abstract: We give a method of mapping any arbitrary circuit in the standard quantum computing model to an adiabatic algorithm of the same depth. It is a direct mapping as we use the same initial, intermediate and final states as in the circuit. Hence we show constructively the existence of efficient adiabatic evolution paths for a class of problems. Since the physical implementation of unitary gates in the circuit model requires precise timing control, the equivalent adiabatic construction may also provide a more realizable alternative.
Language: English
Open Access status: green
OpenAlex ID: W2802482849
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