Based On Lewis-Riesenfeld Invariant To Realize Quantum Information Processing In The Coupled Cavity QED System

Quantum information science is a subject based on quantum mechanics and information science.The generation of the quantum entanglement states and the quantum logic gates is very important for the quantum information processing.The adiabatic method is an effective way to prepare the quantum entanglement states and the quantum logic gates.The advantages of the adiabatic method are insensitive to parameters fluctuation in the experiment and need not to control the interaction time exactly.However,the adiabatic method typically needs long evolution time.The decoherence,noise,or losses that are accumulated during a long evolution time would spoil the intended dynamics.Therefore,accelerating the adiabatic passage may be the most reasonable way to actually fight against the decoherence and losses.Berry and Chen have put forward different shortcuts to adiabatic passage which accelerate the speed of the generation of the quantum entanglement states.In addition,because the cavity quantum electrodynamics(QED)system can restrain the decoherence caused by environment,it is an important carrier to generate the quantum entanglement states and the quantum logic gates.Our paper studies the realization of the quantum entanglement states and the quantum logic gates via inverse engineering based on LR invariant in the coupled cavity QED system.The details are as follows:In Chapter 1,we mainly introduce the concept of quantum entanglement and quantum computing.In this section of quantum entanglement,the familiar quantum entanglement states and application are explained.In this section of quantum computing,the common quantum logic gates is explained.This chapter finally introduces the research content and the structure of this article.In Chapter 2,we mainly introduce the basic theoretical knowledge of quantum optics.Firstly,we introduce cavity QED,Jaynes-Cummings(J-C)model and coupled cavity QED system.Then,we introduce the process of stimulated Raman adiabatic passage(STIRAP)and the continuous coupling cases of quantum Zeno effect.Finally,we introduce the theory of LR invariant as well as the concept of LR invariant and inverse engineering based on LR invariant.In Chapter 3,we mainly study the realization of two-atom maximally entangled state and N-atom W state in cavity QED system via inverse engineering based on LR invariant.Numerical simulation demonstrates that the scheme needs shorter interaction time than the adiabatic method and is robust against the decoherence caused by atomic spontaneous emission and photon leakage.In Chapter 4,we mainly study the realization of fast controlled-not(CNOT)gate in cavity QED system via inverse engineering based on LR invariant.Numerical simulation demonstrates that the scheme has a high fidelity and is robust against parameters fluctuation in the experiment.Finally,the results are summarized at the end of the paper.