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Abstract: Adiabaticity of quantum evolution is important in many settings. One exampleis the adiabatic quantum computation. Nevertheless, up to now, there is noeffective method to test the adiabaticity of the evolution when theeigenenergies of the driven Hamiltonian are not known. We propose a simplemethod to check adiabaticity of a quantum process for an arbitrary quantumsystem. We further propose a operational method for finding a uniformlyadiabatic quench scheme based on Kibble-Zurek mechanism for the case when theinitial and the final Hamiltonians are given. This method should help inimplementing adiabatic quantum computation.

Author: H. T. Quan, W. H. Zurek

Source: https://arxiv.org/

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