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Quantum Simulation with Superconducting Circuits

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서명/저자사항Quantum Simulation with Superconducting Circuits.
개인저자Ramasesh, Vinay.
단체저자명University of California, Berkeley. Physics.
발행사항[S.l.]: University of California, Berkeley., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항113 p.
기본자료 저록Dissertations Abstracts International 81-06B.
Dissertation Abstract International
ISBN9781392849477
학위논문주기Thesis (Ph.D.)--University of California, Berkeley, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-06, Section: B.
Advisor: Siddiqi, Irfan.
이용제한사항This item must not be sold to any third party vendors.
요약Nonlinear superconducting circuits are a leading candidate to implement quantum information tasks beyond the reach of classical processors. One such task, quantum simulation, involves using a controllable quantum system to study the dynamics of another. In this thesis, we present a series of experiments using small systems of superconducting circuits to perform various quantum tasks relevant to quantum simulation.In the first experiment, we design and build a circuit comprising three transmon qubits whose dynamics mirror those of interacting bosonic particles on a lattice, described by the Bose-Hubbard Hamiltonian. We verify the predictions of the Bose-Hubbard model for this system spectroscopically and then use time-domain measurements to study the decoherence processes affecting the qubits. Using a Raman process, we engineer artificial decay dynamics in the system which allow us to prepare and stabilize otherwise inaccessible states of the transmon array.The second experimental demonstration concerns topological quantum matter. Certain quantum systems are characterized by quantities known as topological invariants, which are robust to local perturbations. These topological invariants are challenging to measure in naturally-occurring systems. We engineer an artificial system, comprising a transmon qubit coupled to a high-Q cavity, capable of undergoing a protocol known as the quantum walk, which also exhibits topological invariants. By using particular non-classical state of the cavity, we modify the quantum walk protocol to make the topological invariant directly accessible.Finally, we implement a hybrid quantum-classical algorithm-known as the variational quantum eigensolver-in a two-transmon quantum processor. As a proof of principle demonstration, we compute the ground-state and low-lying excited state energies of the hydrogen molecule as a function of nuclear separation. We show that an extension of the basic algorithm, known as the quantum subspace expansion, allows for the mitigation of errors caused by decoherence processes affecting the quantum processor.
일반주제명Physics.
Quantum physics.
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