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Bell Sampling in Quantum Monte Carlo Simulations.

Poetri Sonya Tarabunga1,2, Yi-Ming Ding3,4,5

  • 1Technical University of Munich, TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany.

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|November 30, 2025
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Summary
This summary is machine-generated.

Quantum Monte Carlo (QMC) methods are enhanced by Bell-QMC, a new framework using Bell sampling. This approach efficiently computes challenging quantum observables and entanglement, expanding QMC simulation capabilities.

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Area of Science:

  • Quantum Many-Body Physics
  • Computational Quantum Physics

Background:

  • Quantum Monte Carlo (QMC) methods are crucial for simulating quantum many-body systems.
  • Calculating off-diagonal operators and entanglement in QMC is computationally challenging.

Purpose of the Study:

  • Introduce Bell-QMC, a novel QMC framework.
  • Enable efficient and unbiased estimation of challenging quantum observables and entanglement.

Main Methods:

  • Leverage Bell sampling, a two-copy measurement protocol in the transversal Bell basis.
  • Implement the method within the stochastic series expansion with an efficient update scheme.
  • Sample configurations in the Bell basis.

Main Results:

  • Bell-QMC enables efficient and unbiased estimation of off-diagonal operators and entanglement.
  • Entanglement across all system partitions can be computed in a single simulation.
  • Demonstrated on the 1D transverse-field Ising model and 2D Z_{2} lattice gauge theory.

Conclusions:

  • Bell-QMC significantly expands the quantum properties accessible via QMC simulations.
  • Offers a substantial advantage over conventional QMC approaches.
  • Allows extraction of universal quantum features using simple diagonal measurements.