Study On The Superconducting Quantum Computation With The CPBs In Superconducting Transmission Line Resonator

In recent ten years, because quantum computing have the superior ability of quantum parallel processing, and it has been very attention to in field of modern physics research. Superconducting transmission line resonator and superconducting qubit form a new hybrid coupling system, which attracts increasing interest and obtains many important progresses in theory and experiment at home and abroad. In this paper, we focus on the Cooper Pairs Box-Transmission Line Resonator coupling system of quantum information transfer, and some researches on the theoretical models are presented. The main content of this dissertation consists of three aspects.The history of development of superconducting quantum computation is introduced briefly, and the Josephson effect with Josephson junction physics and superconducting quantum interference devices of application are expatiated; We list the configuration and working principle of superconducting charge,flux and phase quantum bits, at the same time, generalize briefly the advantage and disadvantage of superconducting charge,flux and phase quantum bits.According to the model of superconducting circuit quantum electrodynamics, and we discuss researches on superconducting transmission line resonator and it's LC simplified model. On the basis of LC simplified model, TLR is quantized; we summarize the transmissible character of TLR, and compare the researches of two different configuration qubits coupled with TLR, and the character of strong coupled systems which are composed by superconducting transmission line resonator and qubits is introduced.Next, we investigate the coupling system of CPB-TLR, and propose the scheme of quantum information transfer with two identical CPB coupled TLR considering respective advantage of CPB and TLR. On the condition of the coupling system which is modified by applied flux, there is a detune between of two CPB, energy levels have Landau-Zener tunneling for the changed detune with time. Quantum states transfer is achieved by the tunneling effect in coupling system, initially, information is coded in quantum states, and quantum information transfer is completed. Finally, we discuss the experimental feasibility for the protocol.At last, outlooks of our future work are discussed briefly.