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Directly estimating nonclassicality.

A Mari1, K Kieling, B Melholt Nielsen

  • 1Institute of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

We developed a new method to directly measure quantum nonclassicality using fewer settings. This approach certifies nonclassical states, even from measuring just two variables, applicable to quantum mechanics and opto-mechanics.

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Area of Science:

  • Quantum Optics
  • Quantum Information
  • Quantum Mechanics

Background:

  • Nonclassical states are crucial for quantum technologies.
  • Characterizing nonclassicality typically requires extensive quantum state tomography.
  • Existing methods for certifying nonclassicality can be resource-intensive.

Purpose of the Study:

  • To establish a direct and efficient method for measuring and certifying quantum nonclassicality.
  • To reduce the number of measurement settings required for nonclassicality certification.
  • To provide a practical tool for detecting nonclassical features in quantum systems.

Main Methods:

  • Operationally defining nonclassicality based on distinguishability from classical states (positive Wigner function).
  • Utilizing Bochner's theorem for characterizing quantum states.
  • Employing semidefinite programming for theoretical validation.
  • Experimental preparation and measurement of optical Fock states.

Main Results:

  • A method for directly measuring and estimating nonclassicality is established.
  • Nonclassicality can be certified with significantly fewer measurement settings than full tomography.
  • Measuring just two conjugate variables is sufficient to infer nonclassicality.
  • Experimental data from optical Fock states validate the theoretical framework.

Conclusions:

  • The developed method offers an efficient way to certify quantum nonclassicality.
  • This technique is applicable to various quantum systems, including opto-mechanical degrees of freedom.
  • The findings provide a practical tool for experimental quantum state characterization.