Photon-Number-Dependent Hamiltonian Engineering for Cavities

Chiao-Hsuan Wang, Kyungjoo Noh, José Lebreuilly, S.M. Girvin, and Liang Jiang

Phys. Rev. Applied 15, 044026 – Published 15 April 2021

Abstract

Cavity resonators are promising resources for quantum technology, while native nonlinear interactions for cavities are typically too weak to provide the level of quantum control required to deliver complex targeted operations. Here we investigate a scheme to engineer a target Hamiltonian for photonic cavities using ancilla qubits. By off resonantly driving dispersively coupled ancilla qubits, we develop an optimized approach to engineering an arbitrary photon-number-dependent Hamiltonian for the cavities while minimizing the operation errors. The engineered Hamiltonian admits various applications including canceling unwanted cavity self-Kerr interactions, creating higher-order nonlinearities for quantum simulations, and designing quantum gates resilient to noise. Our scheme can be implemented with coupled microwave cavities and transmon qubits in superconducting circuit systems.

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Received 30 August 2020
Revised 16 November 2020
Accepted 4 March 2021

DOI:https://doi.org/10.1103/PhysRevApplied.15.044026

Physics Subject Headings (PhySH)

Cavity quantum electrodynamics Photonics Quantum control Quantum error correction Quantum gates Quantum information with solid state qubits

Superconducting devices

Microwave techniques

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Chiao-Hsuan Wang ^1,*, Kyungjoo Noh ², José Lebreuilly³, S.M. Girvin ³, and Liang Jiang¹

¹Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
²AWS Center for Quantum Computing, Pasadena, California 91125, USA
³Department of Physics and Yale Quantum Institute, Yale University, New Haven, Connecticut 06520, USA