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This study predicts switching rates in quantum systems using path integrals, extending methods to systems with hidden time-reversal symmetry. Analytical estimates for bit-flip errors in cat-qubits are provided.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science

Background:

  • Analytical expressions for switching rates are known for systems with Gaussian noise and classical detailed balance.
  • Open quantum systems with hidden time-reversal symmetry present new challenges for rate prediction.

Purpose of the Study:

  • To extend path integral techniques for predicting switching rates in open quantum systems.
  • To derive analytical estimates of bit-flip error rates in cat-qubit architectures.

Main Methods:

  • Utilizing path integral techniques.
  • Applying methods to open quantum systems exhibiting hidden time-reversal symmetry.
  • Comparing results with numerically exact diagonalization of the Lindbladian.

Main Results:

  • Developed a method to predict switching rates in a class of open quantum systems.
  • Obtained analytical estimates for bit-flip error rates in cat-qubit architectures.
  • Confirmed findings through numerical simulations.

Conclusions:

  • The study successfully extends path integral techniques to systems with hidden time-reversal symmetry.
  • Provides valuable analytical estimates for quantum computing error rates.
  • Opens avenues for studying switching phenomena in more complex multistable quantum systems.