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Protection of qubits by nonlinear resonances

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Abstract

We show that quantized superconducting circuits are non-integrable at the classical level of description, adorned by nonlinear resonances amidst stochastic sea. The stable (elliptic) and unstable (hyperbolic) points occur in a way that by choosing the parameters of a system close to elliptic points, the dynamics is stable. Quantum mechanically, any disturbance has to tunnel the separatrix to reach the elliptic point. Thus, nonlinearity of the system provides protection. Based on these fundamental considerations from the Kolmogorov–Arnold–Moser theorem, we propose criteria for protection of qubits from any disturbance.

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Article Open access 12 November 2022

Eric Hyyppä, Suman Kundu, … Mikko Möttönen

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This manuscript has associated data in a data repository. [Authors’ comment: All data included in this manuscript are available upon reasonable request by contacting with the corresponding author].

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Acknowledgements

The authors thank Nishchal R. Dwivedi and Sandeep Joshi for stimulating discussions.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Macquarie University, Sydney, NSW, 2122, Australia

    Rakesh Kumar Saini

  2. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, 400085, India

    Raman Sehgal

  3. Theoretical Nuclear Physics & Quantum Computing Section, Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, 400085, India

    Sudhir R. Jain

  4. Homi Bhabha National Institute, Mumbai, 400094, India

    Sudhir R. Jain

  5. UM-DAE Centre for Excellence in Basic Sciences, Vidyanagari Campus, Mumbai, 400098, India

    Sudhir R. Jain

Authors
  1. Rakesh Kumar Saini
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  2. Raman Sehgal
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  3. Sudhir R. Jain
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Correspondence to Sudhir R. Jain.

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Saini, R.K., Sehgal, R. & Jain, S.R. Protection of qubits by nonlinear resonances. Eur. Phys. J. Plus 137, 356 (2022). https://doi.org/10.1140/epjp/s13360-022-02561-6

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