Universally shortcuts to adiabatic passage for generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving
Ye‐Hong Chen, Yan Xia, Qing-Qin Chen, Jie Song · arXiv (Cornell University) · 2014
Berry's approach on quantum driving shows how to set a Hamiltonian which drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final result of an adiabatic process in a shorter time. In this paper, motivated by transitionless quantum driving, we construct shortcuts to adiabatic passage in a three-atom system to create the Greenberger-Horne-Zeilinger states with the help of quantum Zeno dynamics and of non-resonant lasers. The influence of various decoherence processes is discussed by numerical simulation and the result proves that the scheme is fast and robust against decoherence and operational imperfection.