Shortcuts To Adiabatic Passage For Generation Of Three-dimensional Entanglement Based On Transitionless Quantum Driving

Quantum entanglement is the most basic material resources to realize quantum communication and quantum computing,so more and more researchers using differ-ent methods to prepared different forms of entanglement.The information storage and safety of the high-dimensional entanglement shows incomparable advantages compared with other forms of entanglement due to the richer form of coding.Moti-vated by this,many schemes have been used different research methods to generate a high-dimensional entanglement in theory and experiment.It is well known that the robustness of adiabatic passage against parameter flctuations makes it a good choice for the realization of quantum information processing.However,the required long evolution time is the key ingredient that makes it effctive.In practice,however,a long evolution time may be a drawback that makes the method ineffctive because the dissipation caused by decoherence,noise,and losses on the target state can increase with an increasing interaction time.Therefore,much attention has been devoted to shorten the evolution time of the adiabatic passage,and the shortcuts to adiabaticity that arise in this situation.In this thesis we have constructed a shortcut to the adiabatic passage for the three-dimensional entanglement of two atoms by-using the transitionless quantum driving method.The main research content is as follows:(1)Begin with the adiabatic passage,we describe the process of the adiabatic passage and analyze advantages and disadvantages in quantum information process-ing.In view of the defects in the adiabatic passage,the method of building shortcuts to adiabaticity is given in detail.(2)We propose an effctive scheme of shortcuts to adiabaticity for generating a three-dimensional entanglement of two atoms trapped in a cavity using the transi-tionless quantum driving approach.The three-dimensional entanglement is obtained with a faster rate than that in the adiabatic passage.Moreover,the inflences of atomic spontaneous emission and photon loss on the fielity are discussed by numer-ical simulation.The results show that the speed of entanglement implementation is greatly improved by the use of adiabatic shortcuts and that this entanglement implementation is robust against decoherence.Feasibility analysis shows that our scheme is achievable under the condition of existing experimental.This will be beneficial to the preparation of high-dimensional entanglement in experiment and provides the necessary conditions for the applica-tion of high-dimensional entangled states in quantum information processing.