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Taylor, Jacob M. Adhikari, Prabin Digital Repository at the University of Maryland University of Maryland (College Park, Md.) Physics 2015-02-06T06:38:26Z 2015-02-06T06:38:26Z 2014 https://doi.org/10.13016/M2NS5C http://hdl.handle.net/1903/16171 Superconducting quantum circuits are a promising approach for realizations of large scale quantum information processing and quantum simulations. The Josephson junction, which forms the basis of superconducting circuits, is the only known nonlinear non-dissipative circuit element, and its inherent nonlinearities have found many different applications. In this thesis I discuss specific implementations of these circuits. I show that strong two-photon nonlinearities can be induced by coupling photons in the microwave domain to Josephson nonlinearities. I then propose a method to simulate a parent Hamiltonian that can potentially be used to observe fractional quantum Hall states of light. I will also explore how superconducting circuits can be used to modify system-bath couplings to emulate a chemical potential for photons. Finally, I consider the limitations of devising a scheme to couple superconducting circuits to trapped ions, and consider the challenges for such hybrid approaches. en Nonlinear Optics Quantum Computation and Quantum Simulation with Circuit-QED Dissertation Physics Circuit-QED Hybrid Systems Quantum Simulation Superconducting Circuits open.access