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Fermionic Correlation Functions from Randomized Measurements in Programmable Atomic Quantum Devices.

Piero Naldesi1,2, Andreas Elben1,2,3,4, Anna Minguzzi5

  • 1Institute for Theoretical Physics, University of Innsbruck, Innsbruck A-6020, Austria.

Physical Review Letters
|August 25, 2023
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Researchers developed a new method using randomized measurements for ultracold atoms to efficiently estimate fermionic correlations. This technique combines beam splitters and quantum gas microscopes for quantum chemistry applications.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Quantum chemistry

Background:

  • Estimating fermionic correlations is crucial for understanding quantum many-body systems.
  • Existing methods for measuring these correlations can be computationally intensive and experimentally challenging.

Purpose of the Study:

  • To introduce an efficient randomized measurement protocol for estimating two- and four-point fermionic correlations.
  • To demonstrate the protocol's feasibility in ultracold atom experiments.

Main Methods:

  • Utilizing random atomic beam splitter operations, achievable with programmable optical landscapes.
  • Integrating high-resolution imaging systems like quantum gas microscopes for precise measurements.
  • Applying the protocol within the framework of the variational quantum eigensolver algorithm.

Main Results:

  • The proposed protocol offers an efficient way to estimate fermionic correlations.
  • The method is compatible with current experimental capabilities in ultracold atom systems.
  • Demonstrated applicability in solving quantum chemistry problems via variational quantum eigensolver.

Conclusions:

  • The randomized measurement protocol provides a practical and efficient approach for probing fermionic correlations.
  • This work bridges the gap between theoretical algorithms and experimental realization in quantum simulations.
  • The method has potential implications for advancing quantum computation and materials science.