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Benchmarking Quantum Simulators Using Ergodic Quantum Dynamics.

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This summary is machine-generated.

We developed a sample-efficient protocol to estimate quantum state fidelity in analog quantum simulators. This method achieves high precision with few measurements, independent of system size, and improves accuracy exponentially with scale.

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Area of Science:

  • Quantum Information Science
  • Quantum Simulation
  • Quantum Metrology

Background:

  • Estimating the fidelity of experimentally prepared quantum states is crucial for advancing quantum technologies.
  • Current methods often require complex control or large numbers of measurements, limiting their applicability.

Purpose of the Study:

  • To propose and analyze a novel, sample-efficient protocol for fidelity estimation in analog quantum simulators.
  • To enable accurate state characterization without advanced spatiotemporal control.

Main Methods:

  • Leveraging universal fluctuations emerging from generic Hamiltonian dynamics.
  • Developing a protocol with near-optimal sample complexity, requiring minimal fine-tuning of control parameters.

Main Results:

  • Achieved percent-level precision in fidelity estimation with approximately 10^3 measurements, independent of system size.
  • Demonstrated exponential improvement in accuracy with increasing system size.
  • Numerically validated the protocol on quantum gas microscopes, trapped ions, and Rydberg atom arrays.

Conclusions:

  • The proposed protocol offers a practical and efficient approach to quantum state fidelity estimation.
  • It is broadly applicable to various analog quantum simulator platforms.
  • The method has potential applications in multiparameter estimation of quantum states and processes.