Related papers: Entanglement and Impropriety

Entanglement and Impropriety

URL: http://arxiv.org/abs/2008.04364v2
Date: Sat, 24 Apr 2021 20:24:51 GMT
Title: Entanglement and Impropriety
Authors: Brian R. La Cour and Thomas W. Yudichak
Abstract summary: Replacing operators with complex Gaussian random variables in the Bogoliubov transformations for squeezed states, we find that the resulting variables are not only correlated but also improper. A simple threshold exceedance model of photon detection is considered and used to demonstrate how the behavior of improper Gaussian random variables can mimic that of entangled photon pairs when coincidence post-selection is performed.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The relationship between quantum entanglement and classical impropriety is considered in the context of multi-modal squeezed states of light. Replacing operators with complex Gaussian random variables in the Bogoliubov transformations for squeezed states, we find that the resulting transformed variables are not only correlated but also improper. A simple threshold exceedance model of photon detection is considered and used to demonstrate how the behavior of improper Gaussian random variables can mimic that of entangled photon pairs when coincidence post-selection is performed.

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