Selective number-dependent arbitrary Hamiltonian engineering for a cavity
ORAL
Abstract
Cavity resonators are promising resources for storing and processing quantum information. Here we investigate a scheme to engineer the Hamiltonian for a photonic cavity using an ancilla qubit. In the strong dispersive coupling limit and number-split regime, one can drive the qubit near selective photon-number-dependent transition frequencies to address the individual photon number states of the cavity. By choosing control driving detunings much larger than the driving strengths, we propose a general approach to engineering a selective number-dependent arbitrary Hamiltonian for the cavity. The engineered Hamiltonian admits various applications including canceling unwanted cavity Kerr effect, creating higher-order nonlinearities for quantum simulations, designing quantum gate operations resilient to noise, and even realizing quantum error correction. Our scheme can be implemented with a coupled microwave cavity and transmon qubit in superconducting circuits systems.
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Presenters
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Chiao-Hsuan Wang
Pritzker School for Molecular Engineering, University of Chicago, University of Chicago
Authors
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Chiao-Hsuan Wang
Pritzker School for Molecular Engineering, University of Chicago, University of Chicago
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José Lebreuilly
Yale University
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Kyungjoo Noh
Department of Physics and Applied Physics, Yale University, Yale University
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Steven Girvin
Yale University, Department of Physics and Applied Physics, Yale University, Department of Physics, Yale University, Yale Quantum Institute, Yale University
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Liang Jiang
University of Chicago, Pritzker school of molecular engineering, University of Chicago, Yale University