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Designing Kerr interactions using multiple superconducting qubit types in a single circuit

Elliott, Matthew, Joo, Jaewoo and Ginossar, Eran (2018) Designing Kerr interactions using multiple superconducting qubit types in a single circuit New Journal of Physics, 20 (2), 023037.

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Abstract

The engineering of Kerr interactions is of great interest for processing quantum information in multipartite quantum systems and for investigating many-body physics in a complex cavity-qubit network. We study how coupling multiple different types of superconducting qubits to the same cavity modes can be used to modify the self- and cross-Kerr effects acting on the cavities and demonstrate that this type of architecture could be of significant benefit for quantum technologies. Using both analytical perturbation theory results and numerical simulations, we first show that coupling two superconducting qubits with opposite anharmonicities to a single cavity enables the effective self-Kerr interaction to be diminished, while retaining the number splitting effect that enables control and measurement of the cavity field. We demonstrate that this reduction of the self-Kerr effect can maintain the fidelity of coherent states and generalised Schrödinger cat states for much longer than typical coherence times in realistic devices. Next, we find that the cross-Kerr interaction between two cavities can be modified by coupling them both to the same pair of qubit devices. When one of the qubits is tunable in frequency, the strength of entangling interactions between the cavities can be varied on demand, forming the basis for logic operations on the two modes. Finally, we discuss the feasibility of producing an array of cavities and qubits where intermediary and on-site qubits can tune the strength of self- and cross-Kerr interactions across the whole system. This architecture could provide a way to engineer interesting many-body Hamiltonians and be a useful platform for quantum simulation in circuit quantum electrodynamics.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
NameEmailORCID
Elliott, Matthewm.j.elliott@surrey.ac.uk
Joo, Jaewoo
Ginossar, Erane.ginossar@surrey.ac.uk
Date : 15 February 2018
Funders : Engineering and Physical Sciences Research Council (EPSRC)
DOI : 10.1088/1367-2630/aa9243
Copyright Disclaimer : © 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Uncontrolled Keywords : Superconducting circuits; Kerr interaction; Circuit quantum electrodynamics; Quantum simulation; Cavity quantum electrodynamics
Related URLs :
Depositing User : Clive Harris
Date Deposited : 16 Feb 2018 09:09
Last Modified : 11 Dec 2018 11:23
URI: http://epubs.surrey.ac.uk/id/eprint/845850

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