We generate and characterise continuous variable polarization entanglement between two optical beams. We first produce quadrature entanglement, and by performing local operations we transform it into a polarization basis. We extend two entanglement criteria, the inseparability criteria proposed by Duan {\it et al.}\cite{Duan00} and the Einstein-Podolsky-Rosen paradox criteria proposed by Reid and Drummond\cite{Reid88}, to Stokes operators; and use them to charactise the entanglement. Our results for the Einstein-Podolsky-Rosen paradox criteria are visualised in terms of uncertainty balls on the Poincar\'{e} sphere. We demonstrate theoretically that using two quadrature entangled pairs it is possible to entangle three orthogonal Stokes operators between a pair of beams, although with a bound 3 times more stringent than for the quadrature entanglement.
@article{arxiv.quant-ph/0303180,
title = {Continuous variable polarization entanglement, experiment and analysis},
author = {Warwick P. Bowen and Nicolas Treps and Roman Schnabel and Timothy C. Ralph and Ping Koy Lam},
journal= {arXiv preprint arXiv:quant-ph/0303180},
year = {2009}
}