Constructing shortcuts to the adiabatic passage for implementation of nongeomeric phase gates in a two-atom system

Abstract

Through combining ‘Lewis–Riesenfeld invariants’ and ‘transitionless quantum driving’ with ‘quantum zeno subspace’ and ‘second-order perturbation approximation’, respectively, we put forward two different methods to construct shortcuts via nonadiabatic processes to present robust quantum phase gates in a two-atom system. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity is discussed. The result shows that this scheme is insensitive to both the two error sources. Moreover, the interaction time of the scheme is very short and precise control is not required. Additionally, this scheme is not only implemented without requiring extra complex conditions, but is also insensitive to variations of the parameters. Therefore, this scheme may provide a new perspective for quantum computation.