Gaussian secure source coding and Wyner's Common Information

@article{Satpathy2015GaussianSS,
  title={Gaussian secure source coding and Wyner's Common Information},
  author={Sanket Satpathy and Paul W. Cuff},
  journal={2015 IEEE International Symposium on Information Theory (ISIT)},
  year={2015},
  pages={116-120}
}
We study secure source-coding with causal disclosure, under the Gaussian distribution. The optimality of Gaussian auxiliary random variables is shown in various scenarios. We explicitly characterize the tradeoff between the rates of communication and secret key. This tradeoff is the result of a mutual information optimization under Markov constraints. As a corollary, we deduce a general formula for Wyner's Common Information in the Gaussian setting. 
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