Superconducting quantum circuits theory and application

摘要: Author(s): Deng, Xiuhao | Advisor(s): Chiao, Raymond Abstract: Superconducting quantum circuit models are widely used to understand superconducting devices. This thesis consists of four studies wherein the is illustrate challenges related information encoding and processing, simulation, signal detection amplification.The existence scalar Aharanov-Bohm phase has been a controversial topic for decades. Scalar AB phase, defined as time integral electric potential, gives rises an extra factor in wavefunction. We proposed Faraday cage detect temporal interference effect consequence phase. Using model, physical system solved resulting predicted. Further discussion this chapter shows that treating experimental apparatus mechanically, spatial effect, by Aharanov-Bohm, can't be observed. Either decoherent observe or effect.The second study involves protecting from losing coherence, which crucial any practical computation scheme. present theory encode qubit, especially qubits, into universal degeneracy point (UQDP) where low frequency noise suppressed significantly. Numerical simulations charge qubit using parameters show its coherence prolong two orders magnitude our approach. With improvement, set gates can performed at high fidelity without too much coherence.Starting 2004, use QED enabled manipulation qubits with photons. applied optical approach model coupled resonators obtained four-wave mixing toolbox operate photons states. The engineered via UQDP circuit. fourth order perturbation one realize complete operations between these photon modes. helps open new field treat modes qubits. Additional, three-wave scheme permits engineer coupling Hamiltonian tunable coupler.Along Feynman's idea simulate quantum, simulators have studied intensively recently. Taking advantage mesoscopic size local tunability, we came out transition due disorder. Our first paper was propose simulator Bose-Hubbard do site-wise Mott-insulator superfluid transition. side-band cooling array after published. In light developed technology manipulating circuit, couple other oscillator states parametric amplification weak signal. A works different schemes 5. will platform further research.