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Quantum annealing for the number-partitioning problem using a tunable spin glass of ions

Author

Listed:
  • Tobias Graß

    (ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology)

  • David Raventós

    (ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology)

  • Bruno Juliá-Díaz

    (ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology
    Departament de Física Quàntica i Astrofísica, Facultat de Física, Universitat de Barcelona
    Institut de Ciències del Cosmos, Universitat de Barcelona, ICCUB)

  • Christian Gogolin

    (ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology
    Max-Planck-Institut für Quantenoptik)

  • Maciej Lewenstein

    (ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology
    ICREA-Institució Catalana de Recerca i Estudis Avançats)

Abstract

Exploiting quantum properties to outperform classical ways of information processing is an outstanding goal of modern physics. A promising route is quantum simulation, which aims at implementing relevant and computationally hard problems in controllable quantum systems. Here we demonstrate that in a trapped ion setup, with present day technology, it is possible to realize a spin model of the Mattis-type that exhibits spin glass phases. Our method produces the glassy behaviour without the need for any disorder potential, just by controlling the detuning of the spin-phonon coupling. Applying a transverse field, the system can be used to benchmark quantum annealing strategies which aim at reaching the ground state of the spin glass starting from the paramagnetic phase. In the vicinity of a phonon resonance, the problem maps onto number partitioning, and instances which are difficult to address classically can be implemented.

Suggested Citation

  • Tobias Graß & David Raventós & Bruno Juliá-Díaz & Christian Gogolin & Maciej Lewenstein, 2016. "Quantum annealing for the number-partitioning problem using a tunable spin glass of ions," Nature Communications, Nature, vol. 7(1), pages 1-9, September.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms11524
    DOI: 10.1038/ncomms11524
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    Cited by:

    1. Li, Xi & Hu, Shouwei & Liu, Zhihao & Liu, Wenjie, 2024. "Finding maximum independent set based on multi-stage simulated quantum adiabatic evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 651(C).

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