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Quantum Monte Carlo simulations accurately predict quantum annealing performance by mimicking many-body tunneling. This method achieves a quadratic speedup, enabling efficient prediction of tunneling rates in Ising ferromagnets.

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Area of Science:

  • Quantum physics
  • Computational condensed matter physics

Background:

  • Many-body tunneling between ground states is crucial for quantum annealing.
  • Understanding tunneling dynamics in Ising ferromagnets is key to optimizing quantum annealers.

Purpose of the Study:

  • To investigate many-body tunneling in Ising ferromagnets using quantum Monte Carlo simulations.
  • To determine if QMC simulations can predict quantum annealer performance.
  • To explore methods for accelerating QMC simulations.

Main Methods:

  • Quantum Monte Carlo (QMC) simulations were performed on an Ising ferromagnet.
  • Simulations analyzed tunneling rates and scaling with system size.
  • Open boundary conditions in imaginary time were used to achieve a quadratic speedup.

Main Results:

  • QMC tunneling rates exhibit the same system size scaling as incoherent tunneling, O(Δ²).
  • A quadratic speedup in QMC simulations was achieved, resulting in linear scaling with Δ.
  • The study provides a physical understanding based on an instanton picture.

Conclusions:

  • QMC simulations are a viable tool for predicting quantum annealer performance in tunneling scenarios.
  • The developed QMC method offers significant computational speedup for studying tunneling phenomena.
  • Results offer insights into the applicability and physical basis of tunneling dynamics in quantum systems.