Two Copies of the Einstein-Podolsky-Rosen State of Light Lead to Refutation of EPR Ideas

Abstract

Bell's theorem applies to the normalizable approximations of the original Einstein-Podolsky-Rosen (EPR) state. The constructions of the proof require measurements difficult to perform, and dichotomic observables. By noticing the fact that the four mode squeezed vacuum state produced in type II down-conversion can be seen both as two copies of approximate EPR states, and also as a kind of polarization supersinglet, we show a straightforward way to test violations of the EPR concepts with direct use of their state. The observables involved are simply photon numbers at outputs of polarizing beam splitters. Suitable chained Bell inequalities are based on the geometric concept of distance. For a few settings they are potentially a new tool for quantum information applications, involving observables of a nondichotomic nature, and thus of higher informational capacity. In the limit of infinitely many settings we get a Greenberger-Horne-Zeilinger-type contradiction: EPR reasoning points to a correlation, while quantum prediction is an anticorrelation. Violations of the inequalities are fully resistant to multipair emissions in Bell experiments using parametric down-conversion sources.

9 pages, 7 figures

References in corpus (4)

• Device-independent security of quantum cryptography against collective attacks
• Probing the negative Wigner function of a pulsed single photon point by point
• Quantum non-locality - It ain't necessarily so...
• Geometric chained inequalities for higher-dimensional systems

Cited by in corpus (4)

• Engineering the Frequency Spectrum of Bright Squeezed Vacuum via Group Velocity Dispersion in an SU(1,1) Interferometer
• Experimental observation the Einstein-Podolsky-Rosen Steering based on the detection of entanglement
• Spectral and statistical properties of high-gain parametric down-conversion
• Non-classicality of bright GHZ-like radiation of an optical parametric source