Some implications of superconducting quantum interference to the application of master equations in engineering quantum technologies

S. N. A. Duffus, K. N. Bjergstrom, V. M. Dwyer, J. H. Samson, T. P. Spiller, A. M. Zagoskin, W. J. Munro, Kae Nemoto, and M. J. Everitt
Phys. Rev. B 94, 064518 – Published 24 August 2016

Abstract

In this paper we consider the modeling and simulation of open quantum systems from a device engineering perspective. We derive master equations at different levels of approximation for a superconducting quantum interference device (SQUID) ring coupled to an ohmic bath. We demonstrate that the master equations we consider produce decoherences that are qualitatively and quantitatively dependent on both the level of approximation and the ring's external flux bias. We discuss the issues raised when seeking to obtain Lindbladian dissipation and show, in this case, that the external flux (which may be considered to be a control variable in some applications) is not confined to the Hamiltonian, as often assumed in quantum control, but also appears in the Lindblad terms.

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  • Received 15 June 2016

DOI:https://doi.org/10.1103/PhysRevB.94.064518

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

S. N. A. Duffus1,2, K. N. Bjergstrom1,2, V. M. Dwyer1,3, J. H. Samson1,2, T. P. Spiller4, A. M. Zagoskin2, W. J. Munro5, Kae Nemoto6, and M. J. Everitt1,2,*

  • 1Quantum Systems Engineering Research Group, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom
  • 2Department of Physics, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom
  • 3The Wolfson School, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom
  • 4York Centre for Quantum Technologies, Department of Physics, University of York, York YO10 5DD, United Kingdom
  • 5NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi, Kanagawa 243-0198, Japan
  • 6National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan

  • *m.j.everitt@lboro.ac.uk

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Issue

Vol. 94, Iss. 6 — 1 August 2016

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