Continuous variable polarization entanglement, experiment and analysis

Details Continuous variable polarization entanglement, experiment and analysis Continuous variable polarization entanglement, experiment and analysis

2003-03-31

arxiv.org/abs/quant-ph/0303180v1

J. Opt. B: Quantum Semiclass. Opt. 5 (August 2003) S467-S478

Physics

Quantum Physics

12 pages, 13 figures

Scientific paper

10.1088/1464-4266/5/4/352

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 $\sqrt{3}$ times more stringent than for the quadrature entanglement.

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