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David R M Arvidsson-Shukur1,2,3, Nicole Yunger Halpern4,5,6, Hugo V Lepage7

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Postselection enhances parameter estimation by leveraging quantum mechanics. Negative quasiprobabilities, unique to quantum systems, enable postselected experiments to achieve superior information-cost rates compared to classical methods.

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Area of Science:

  • Quantum Information Science
  • Metrology
  • Quantum Foundations

Background:

  • Parameter estimation experiments incur costs during measurement or postprocessing.
  • Postselection offers a method to potentially improve the information gained per unit cost.

Purpose of the Study:

  • To investigate the role of quasiprobability distributions in postselection's enhancement of Fisher information.
  • To demonstrate that the advantage of postselection in metrology is a distinctly quantum phenomenon.

Main Methods:

  • Analysis of a specific quasiprobability distribution, a quantum generalization of probability distributions.
  • Comparison of classical theories (commuting observables) with quantum theories (noncommuting observables).

Main Results:

  • The negativity of the quasiprobability distribution is identified as the source of postselection's advantage.
  • Quantum experiments with negative quasiprobabilities can achieve higher information-cost rates than classical experiments.
  • Anomalously large Fisher information rates are shown to be unrealizable in classical theories.

Conclusions:

  • The metrological advantage gained through postselection is a direct consequence of quantum nonclassicality.
  • The developed quasiprobability distribution serves as a mathematical tool to identify and quantify this quantum advantage.