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Photon-Number-Dependent Hamiltonian Engineering for Cavities

Wang, Chiao-Hsuan and Noh, Kyungjoo and Lebreuilly, José and Girvin, S. M. and Jiang, Liang (2021) Photon-Number-Dependent Hamiltonian Engineering for Cavities. Physical Review Applied, 15 (4). Art. No. 044026. ISSN 2331-7019. doi:10.1103/physrevapplied.15.044026.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Wang, Chiao-Hsuan0000-0003-3505-9574
Noh, Kyungjoo0000-0002-6318-8472
Girvin, S. M.0000-0002-6470-5494
Additional Information:© 2021 American Physical Society. Received 30 August 2020; revised 16 November 2020; accepted 4 March 2021; published 15 April 2021. We acknowledge support from the ARL-CDQI (W911NF-15-2-0067), ARO (W911NF-18-1-0020, W911NF-18-1-0212), ARO MURI (W911NF-16-1-0349), AFOSR MURI (FA9550-15-1-0015, FA9550-19-1-0399), DOE (DE-SC0019406), NSF (EFMA-1640959, OMA-1936118), and the Packard Foundation (2013-39273).
Group:AWS Center for Quantum Computing
Funding AgencyGrant Number
Army Research LaboratoryW911NF-15-2-0067
Army Research Office (ARO)W911NF-18-1-0020
Army Research Office (ARO)W911NF-18-1-0212
Army Research Office (ARO)W911NF-16-1-0349
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0015
Air Force Office of Scientific Research (AFOSR)FA9550-19-1-0399
Department of Energy (DOE)DE-SC0019406
David and Lucile Packard Foundation2013-39273
Issue or Number:4
Record Number:CaltechAUTHORS:20210421-093300777
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108780
Deposited By: Tony Diaz
Deposited On:21 Apr 2021 21:10
Last Modified:21 Apr 2021 21:10

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