The Realization And Application Of Shortcuts To Adiabatic Passage In Cavity QED System

The adiabatic technique is one of the most widely used and proven techniques in quantum information science.The main advantages of this technique are that it is insensitive to the fluctuation of experimental parameters,and the interaction time of the system does not require to control accurately.However,limited by the adiabatic condition,it usually takes relatively long interaction time in schemes via adiabatic technique to achieve the target.If the required evolution time is too long,the schemes may be useless.To overcome this problem,researchers have done a.lot in the field of finding ways to shorten the long interaction time of adiabatic passage.Among these works,the technique named shortcuts to adiabatic passage is a successful work in this field and it has attracted a great deal of attention in recent years.Shortcuts to adiabatic passage are a set of techniques to speeding up a slow quantum adiabatic process usually through a non-adiabatic route.On the other hand,the cavity quantum electrodynamics(QED)system which usually takes photons as its carrier of information transmission and atoms as its medium of information storage is one of the most popular tools to study the quantum information science.Therefore,how to combine the optimal adiabatic technique(the optimal adiabatic technique used in this paper is shortcuts to adiabatic passage)with cavity QED system to perform fast and noise-resistant quantum information process has become one of the hot topics of the recent research in adiabatic technique.This paper mainly study how to apply the shortcuts to adiabatic passage into cavity QED system to achieve rapid generation and manipulation of quantum states.The details are as follows:In Chapter 1,the background of the study,the proposition and definition of adiabatic technique,the quantum Zeno dynamics,the shortcuts to adiabatic passage,and the cavity QED systems are introduced.The major research subjects and the organization of the dissertation are given at the end of this chapter.In Chapter 2,inspired of the quantum Zeno subspaces theory,shortcuts to adiabatic passage in multiparticle systems via invariant-based inverse engineering are constructed,and the constructed shortcuts are used to implement fast population transfer.Numerical simulation demonstrates the interaction time required in the scheme is much shorter than that in the scheme via adiabatic passage,and the scheme is robust to decoherence.In Chapter 3,the optimized adiabatic method designed in Chapter 2 is generalized to implement fast quantum states manipulations in fiber-cavity coupled system.Numerical simulation demonstrates that not only the interaction time required in each of the schemes is much shorter than that in the similar adiabatic scheme,but also all the schemes are robust against the decoherence.Moreover,it is not only the total operation time but also the robustness in each scheme against decoherence that is irrelevant to the number of qubits.In Chapter 4,shortcuts to adiabatic passage are constructed in a three-atom system to rapidly generate Greenberger-Home-Zeilinger states based on transitionless quantum driving.Numerical simulation proves that the scheme is fast and robust against decoherence and operational imperfection.Finally,the results are summarized at the end of the paper.