Continuous variable polarization entanglement, experiment and analysis

Abstract

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 Poincaré 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.

12 pages, 13 figures

References in corpus (16)

• Separability Criterion for Density Matrices
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Separability criterion and inseparable mixed states with positive partial transposition
• Experimental long-lived entanglement of two macroscopic objects
• Entangling macroscopic oscillators exploiting radiation pressure
• Generation of Continuous Variable Einstein-Podolsky-Rosen Entanglement via the Kerr Nonlinearity in an Optical Fibre
• Polarization squeezing and continuous-variable polarization entanglement
• An experimental investigation of criteria for continuous variable entanglement
• Separability Criterion for all bipartite Gaussian States
• Distillability Criterion for all Bipartite Gaussian States
• Entanglement quantification and purification in continuous variable systems
• Experimental demonstration of continuous variable polarization entanglement
• Polarization Squeezing of Continuous Variable Stokes Parameters
• Proposal for the Measurement of Bell-like Correlations from Continuous Variables
• Stokes operator squeezed continuous variable polarization states

Cited by in corpus (9)

• Experimental Proof of Nonlocal Wavefunction Collapse for a Single Particle Using Homodyne Measurement
• Simulations and Experiments on Polarisation Squeezing in Optical Fibre
• Einstein-Podolsky-Rosen - entangled motion of two massive objects
• Spatial state Stokes-operator squeezing and entanglement for optical beams
• Entanglement and squeezing in a two-mode system: theory and experiment
• Multi-photon nonclassical correlations in entangled squeezed vacuum states
• Evolution of two-mode quantum states under a dissipative environment: which quantum resource survives better, squeezing or entanglement?
• Simultaneous polarization squeezing in polarized N photon state and diminution on a squeezing operation
• Validation of entanglement purification by continuous variable polarization