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Transmon platform for quantum computing challenged by chaotic fluctuations.

Christoph Berke1, Evangelos Varvelis2,3, Simon Trebst4

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Quantum computing transmon qubits require frequency disorder to prevent chaotic fluctuations. However, some current quantum processors may be dangerously close to this unstable phase, risking uncontrollable errors.

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Area of Science:

  • Quantum Computing
  • Many-Body Physics
  • Condensed Matter Theory

Background:

  • Transmon qubits, essential for quantum computing, are coupled nonlinear quantum resonators.
  • Frequency detuning (disorder) is necessary to stabilize qubit states against nonlinear coupling effects.

Purpose of the Study:

  • Investigate the stability of the many-body localized phase in transmon qubit architectures.
  • Assess system parameters relevant to current quantum processors from IBM, Delft, and Google.
  • Examine the impact of both natural and engineered disorder on qubit stability.

Main Methods:

  • Applied three independent diagnostics from localization theory.
  • Utilized Kullback-Leibler analysis of spectral statistics.
  • Analyzed many-body wave function statistics (inverse participation ratios) and Walsh transform of the many-body spectrum.

Main Results:

  • Found that some quantum computing platforms are nearing a phase of uncontrollable chaotic fluctuations.
  • Demonstrated the critical role of disorder in maintaining the stability of transmon qubit systems.
  • Highlighted potential vulnerabilities in current quantum processor designs.

Conclusions:

  • Current quantum computing architectures may be susceptible to chaotic behavior if disorder is not carefully managed.
  • Further research is needed to ensure the long-term stability and reliability of quantum processors.
  • The findings have direct implications for the design and engineering of future quantum computing hardware.