Testing quantum adiabaticity with quench echo

Details Testing quantum adiabaticity with quench echo Testing quantum adiabaticity with quench echo

2010-07-19

arxiv.org/abs/1007.3294v3

New Journal of Physics, 12 (2010) 093025

Physics

Quantum Physics

This is a new version. Some typos in the New Journal of Physics version have been corrected

Scientific paper

10.1088/1367-2630/12/9/093025

Adiabaticity of quantum evolution is important in many settings. One example is the adiabatic quantum computation. Nevertheless, up to now, there is no effective method to test the adiabaticity of the evolution when the eigenenergies of the driven Hamiltonian are not known. We propose a simple method to check adiabaticity of a quantum process for an arbitrary quantum system. We further propose a operational method for finding a uniformly adiabatic quench scheme based on Kibble-Zurek mechanism for the case when the initial and the final Hamiltonians are given. This method should help in implementing adiabatic quantum computation.

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