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Testing nonclassicality and non-gaussianity in phase space.

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This study introduces a new phase-space test to detect quantum non-Gaussian states. The method, analogous to nonlocality tests, offers a criterion for identifying genuine quantum properties in various states.

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Area of Science:

  • Quantum Optics
  • Quantum Information Theory
  • Phase Space Quantum Mechanics

Background:

  • Nonclassical states are crucial for quantum technologies.
  • Existing nonlocality tests provide a foundation for quantum state characterization.
  • Phase space representations offer a unique perspective on quantum states.

Purpose of the Study:

  • To develop a novel phase-space based nonclassicality test for single-mode quantum states.
  • To establish a criterion for detecting quantum non-Gaussian states.
  • To demonstrate the experimental feasibility and optimization of the proposed test.

Main Methods:

  • Theoretical derivation of a classical bound using Wigner function properties of coherent states.
  • Analogy drawn from nonlocality tests for quantum state characterization.
  • Experimental implementation involving phase-space point selection and squeezing operations.

Main Results:

  • A robust nonclassicality test applicable to pure and mixed Gaussian and non-Gaussian states.
  • The test successfully detects all pure nonclassical Gaussian states.
  • Demonstration of optimized detection of quantum non-Gaussianity through appropriate phase-space sampling.

Conclusions:

  • The proposed phase-space test provides a powerful criterion for identifying quantum non-Gaussianity.
  • The method is versatile, applicable to a wide range of quantum states.
  • Experimental validation confirms the effectiveness and optimization potential of the phase-space approach for quantum state analysis.