Based On The Adiabatic Process And Transitionless Quantum Driving To Realize Quantum Information Processing In The Coupled Cavity System

The traditional adiabatic technique is one of the most widely used and proven techniques in quantum information science.Compared with other technologies,the main advantages of this technique are that it is insensitive to the fluctuation of experimental parameters,it is robust against dissipation and the interaction time of the system does not require to control accurately.However,the adiabatic technique is limited by the adiabatic condition,the system usually takes relatively long interaction time in schemes via adiabatic technique to achieve the target state.If the required evolution time is too long,the scheme may be useless because the dissipation caused by decoherence,noise,and losses on the target state increases with increasing the interaction time.So,in order to overcome the above said problems,researchers have studied a lot adiabatic passage.In recent years,the technique named shortcuts to adiabatic passage has attracted a great deal of attention and it is a successful work.Shortcuts to adiabatic passage are a set of techniques to speeding up a slow quantum adiabatic process through a non-adiabatic route,finally we get the result same to the adiabatic technique.In addition,the coupled cavity system that contains multiple cavity quantum electrodynamics(QED)system realizes quantum information process effectively.It is one of the more mature and effective system in the field of quantum information.Therefore,how to combine the adiabatic technique and shortcuts to adiabatic passage with cavity QED system to generate the entangled state have become the hot topics in the recent research.This paper studies how to apply the adiabatic passage and the shortcuts to adiabatic passage into the coupled cavity system to achieve the generation of a singlet state.The main contents are as follows:The first chapter,this paper introduces the concept of quantum information,quantum entanglement and several common quantum entangled state.Then the paper also introduces the cavity QED system,coupled cavity and Jaynes-Cummings model.Finally the paper summarizes the main contents and structure of the article briefly.The second chapter,the paper mainly introduces the basic knowledge of quantum optics,including the traditional adiabatic process,quantum Zeno dynamics and shortcuts to adiabatic passage.The adiabatic condition of adiabatic approximation and transitionless quantum driving of shortcuts to adiabatic passage are also introduced in detail.The third chapter,the paper uses the adiabatic process for the preparation of N-atom singlet state.First,we use the dark state evolution of adiabatic process for the preparation of two atom singlet state.Then,we use the same method for N-atom singlet state,theoretical analysis is carried on.Numerical simulation proves that the scheme is robust against the fluctuation of experimental parameter and dissipation,the scheme also does not need control the evolution time precisely at the same time.The fourth chapter,shortcuts to adiabatic passage are constructed in a three-atom system to rapidly generate singlet state based on transitionless quantum driving.Then the numerical simulation proves that the scheme is fast and robust against decoherence and operational imperfection.At the same time we also investigate how to choose the experimental parameters to adjust the atomic spontaneous emission and cavity field dissipation.Finally,the results are summarized at the end of the paper.