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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.
Advisor: | Taylor, Jacob M. |
Commitee: | Hafezi, Mohammad, Margetis, Dionisios, Tiesinga, Eite, Wellstood, Frederick C. |
School: | University of Maryland, College Park |
Department: | Physics |
School Location: | United States -- Maryland |
Source: | DAI-B 76/07(E), Dissertation Abstracts International |
Source Type: | DISSERTATION |
Subjects: | Quantum physics, Optics |
Keywords: | Hybrid systems, Quantum simulation, Superconducting circuits |
Publication Number: | 3682634 |
ISBN: | 978-1-321-56341-2 |