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Transmon platform for quantum computing challenged by chaotic fluctuations

Author

Listed:
  • Christoph Berke

    (University of Cologne)

  • Evangelos Varvelis

    (RWTH Aachen University
    Fundamentals of Future Information Technologies)

  • Simon Trebst

    (University of Cologne)

  • Alexander Altland

    (University of Cologne)

  • David P. DiVincenzo

    (RWTH Aachen University
    Fundamentals of Future Information Technologies
    Theoretical Nanoelectronics, Forschungszentrum Jülich)

Abstract

From the perspective of many-body physics, the transmon qubit architectures currently developed for quantum computing are systems of coupled nonlinear quantum resonators. A certain amount of intentional frequency detuning (‘disorder’) is crucially required to protect individual qubit states against the destabilizing effects of nonlinear resonator coupling. Here we investigate the stability of this variant of a many-body localized phase for system parameters relevant to current quantum processors developed by the IBM, Delft, and Google consortia, considering the cases of natural or engineered disorder. Applying three independent diagnostics of localization theory — a Kullback–Leibler analysis of spectral statistics, statistics of many-body wave functions (inverse participation ratios), and a Walsh transform of the many-body spectrum — we find that some of these computing platforms are dangerously close to a phase of uncontrollable chaotic fluctuations.

Suggested Citation

  • Christoph Berke & Evangelos Varvelis & Simon Trebst & Alexander Altland & David P. DiVincenzo, 2022. "Transmon platform for quantum computing challenged by chaotic fluctuations," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-29940-y
    DOI: 10.1038/s41467-022-29940-y
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    References listed on IDEAS

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    1. Frank Arute & Kunal Arya & Ryan Babbush & Dave Bacon & Joseph C. Bardin & Rami Barends & Rupak Biswas & Sergio Boixo & Fernando G. S. L. Brandao & David A. Buell & Brian Burkett & Yu Chen & Zijun Chen, 2019. "Quantum supremacy using a programmable superconducting processor," Nature, Nature, vol. 574(7779), pages 505-510, October.
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    Cited by:

    1. T. Brown & E. Doucet & D. Ristè & G. Ribeill & K. Cicak & J. Aumentado & R. Simmonds & L. Govia & A. Kamal & L. Ranzani, 2022. "Trade off-free entanglement stabilization in a superconducting qutrit-qubit system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Matti Silveri & Tuure Orell, 2022. "Many-qubit protection-operation dilemma from the perspective of many-body localization," Nature Communications, Nature, vol. 13(1), pages 1-3, December.

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