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Quantum annealing with all-to-all connected nonlinear oscillators

Author

Listed:
  • Shruti Puri

    (Institut quantique and Départment de Physique, Université de Sherbrooke)

  • Christian Kraglund Andersen

    (Aarhus University)

  • Arne L. Grimsmo

    (Institut quantique and Départment de Physique, Université de Sherbrooke)

  • Alexandre Blais

    (Institut quantique and Départment de Physique, Université de Sherbrooke
    Canadian Institute for Advanced Research)

Abstract

Quantum annealing aims at solving combinatorial optimization problems mapped to Ising interactions between quantum spins. Here, with the objective of developing a noise-resilient annealer, we propose a paradigm for quantum annealing with a scalable network of two-photon-driven Kerr-nonlinear resonators. Each resonator encodes an Ising spin in a robust degenerate subspace formed by two coherent states of opposite phases. A fully connected optimization problem is mapped to local fields driving the resonators, which are connected with only local four-body interactions. We describe an adiabatic annealing protocol in this system and analyse its performance in the presence of photon loss. Numerical simulations indicate substantial resilience to this noise channel, leading to a high success probability for quantum annealing. Finally, we propose a realistic circuit QED implementation of this promising platform for implementing a large-scale quantum Ising machine.

Suggested Citation

  • Shruti Puri & Christian Kraglund Andersen & Arne L. Grimsmo & Alexandre Blais, 2017. "Quantum annealing with all-to-all connected nonlinear oscillators," Nature Communications, Nature, vol. 8(1), pages 1-9, August.
    • Handle: RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_ncomms15785
    DOI: 10.1038/ncomms15785
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    Cited by:

    1. Daisuke Iyama & Takahiko Kamiya & Shiori Fujii & Hiroto Mukai & Yu Zhou & Toshiaki Nagase & Akiyoshi Tomonaga & Rui Wang & Jiao-Jiao Xue & Shohei Watabe & Sangil Kwon & Jaw-Shen Tsai, 2024. "Observation and manipulation of quantum interference in a superconducting Kerr parametric oscillator," Nature Communications, Nature, vol. 15(1), pages 1-10, December.

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