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Robustness of adiabatic quantum computation
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We study the fault tolerance of quantum computation by adiabatic evolution, a quantum algorithm for solving various combinatorial search problems. We describe an inherent robustness of adiabatic computation against two kinds of errors, unitary control errors and decoherence, and we study this robustness using numerical simulations of the algorithm.
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Asymptotic errors in adiabatic evolution
For slow adiabatic evolution, the time-averaged typical error scales as a power law and depends only on the endpoints of the Hamiltonian path.
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