Classical-Nonclassical Polarity of Gaussian States
- URL: http://arxiv.org/abs/2310.12104v2
- Date: Wed, 25 Oct 2023 15:14:09 GMT
- Title: Classical-Nonclassical Polarity of Gaussian States
- Authors: Jiru Liu, Wenchao Ge, M. Suhail Zubairy
- Abstract summary: Nonclassical properties such as squeezing and entanglement serve as crucial resources for quantum information processing.
We introduce a unified quantifying: the 'classical-nonclassical polarity', represented by $mathcalP$.
For any pure multi-mode Gaussian state, the total classical-nonclassical polarity equals the sum of the mean photon number from single-mode squeezing and two-mode squeezing.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Gaussian states with nonclassical properties such as squeezing and
entanglement serve as crucial resources for quantum information processing.
Accurately quantifying these properties within multi-mode Gaussian states has
posed some challenges. To address this, we introduce a unified quantification:
the 'classical-nonclassical polarity', represented by $\mathcal{P}$. For a
single mode, a positive value of $\mathcal{P}$ captures the reduced minimum
quadrature uncertainty below the vacuum noise, while a negative value
represents an enlarged uncertainty due to classical mixtures. For multi-mode
systems, a positive $\mathcal{P}$ indicates bipartite quantum entanglement. We
show that the sum of the total classical-nonclassical polarity is conserved
under arbitrary linear optical transformations for any two-mode and three-mode
Gaussian states. For any pure multi-mode Gaussian state, the total
classical-nonclassical polarity equals the sum of the mean photon number from
single-mode squeezing and two-mode squeezing. Our results provide a new
perspective on the quantitative relation between single-mode nonclassicality
and entanglement, which may find applications in a unified resource theory of
nonclassical features.
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