研究目的

To identify quantum non-Gaussian states that cannot be represented as a mixture of Gaussian states using the expectation value of an operator defined by position and momentum operators with a positive parameter c.

研究成果

The paper concludes that the expectation value of the proposed operator can serve as a tool to identify quantum non-Gaussian states. The method is efficient and can detect non-Gaussianity even in states with positive-definite Wigner functions and under significant signal attenuation. The findings suggest potential applications in quantum information processing and highlight the method's advantages over traditional phase-space negativity tests.

研究不足

The condition proposed is sufficient but not necessary, meaning it can identify quantum non-Gaussian states but not all non-Gaussian states may be detected. The method's effectiveness depends on the choice of the parameter c and may not detect non-Gaussianity for certain ranges of c.