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

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

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Abstract

The engineering of Kerr interactions has great potential for quantum information processing applications in multipartite quantum systems and for investigation of 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 Schrodinger 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 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, J
Ginossar, Erane.ginossar@surrey.ac.uk
Date : 15 February 2018
Identification Number : 10.1088/1367-2630/aa9243
Copyright Disclaimer : 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.
Depositing User : Melanie Hughes
Date Deposited : 11 Oct 2017 14:20
Last Modified : 16 Feb 2018 12:43
URI: http://epubs.surrey.ac.uk/id/eprint/842517

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