Experimental demonstration of continuous variable polarization entanglement.

We report the experimental transformation of quadrature entanglement between two optical beams into continuous variable polarization entanglement. We extend the inseparability criterion proposed by Duan et al. [Phys. Rev. Lett. 84, 2722 (2000)]] to polarization states and use it to quantify the entanglement. We propose an elaboration utilizing two quadrature entangled pairs for which all three Stokes operators between a pair of beams are entangled.

[1]  Munro,et al.  Proposal for the measurement of bell-type correlations from continuous variables , 2000, Physical review letters.

[2]  F. Rohrlich,et al.  The Theory of Photons and Electrons , 1956 .

[3]  B. Julsgaard,et al.  Experimental long-lived entanglement of two macroscopic objects , 2001, Nature.

[4]  B. Yurke,et al.  Squeezed-light-enhanced polarization interferometer. , 1987, Physical review letters.

[5]  S. Arakelian,et al.  Polarization quantum states of light in nonlinear distributed feedback systems; quantum nondemolition measurements of the Stokes parameters of light and atomic angular momentum , 1998 .

[6]  D. Mattis.  Quantum Theory of Angular Momentum , 1981 .

[7]  Reid,et al.  Quantum correlations of phase in nondegenerate parametric oscillation. , 1988, Physical review letters.

[8]  H. Haus.  Electromagnetic Noise and Quantum Optical Measurements , 2000 .

[9]  Ou,et al.  Realization of the Einstein-Podolsky-Rosen paradox for continuous variables. , 1992, Physical review letters.

[10]  D. Varshalovich,et al.  Quantum Theory of Angular Momentum , 1988 .

[11]  P. Grangier,et al.  Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities , 1982 .

[12]  Polarization squeezing of continuous variable stokes parameters. , 2001, Physical review letters.

[13]  Christine Silberhorn,et al.  Polarization squeezing and continuous-variable polarization entanglement , 2002 .

[14]  Cirac,et al.  Inseparability criterion for continuous variable systems , 1999, Physical review letters.

[15]  E. Polzik,et al.  Spin squeezed atoms: a macroscopic entangled ensemble created by light , 1999 .