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Variational benchmarks for quantum many-body problems.

Dian Wu1,2, Riccardo Rossi1,3, Filippo Vicentini2,4,5

  • 1Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.

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We introduce the V-score, a new metric for variational accuracy in many-body quantum systems. This score helps assess progress in computational physics and chemistry, guiding the development of quantum computing algorithms.

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Area of Science:

  • Computational Physics
  • Quantum Chemistry
  • Quantum Computing

Background:

  • Assessing progress in computational methods for many-body ground-state problems is crucial.
  • Current numerical approaches sometimes exhibit limited accuracy.

Purpose of the Study:

  • Introduce a novel metric, the V-score, to quantify variational accuracy.
  • Provide a curated dataset of variational calculations for benchmarking.

Main Methods:

  • The V-score is derived from the variational energy and its variance.
  • An extensive dataset of many-body quantum system calculations was curated.

Main Results:

  • Identified limitations in the accuracy of current state-of-the-art numerical methods.
  • Highlighted potential for quantum computing to offer improved accuracy.

Conclusions:

  • The V-score serves as a metric to track progress in quantum variational methods.
  • It is particularly useful for assessing the path towards quantum advantage in intractable problems.