All-Versus-Nothing Violation of Local Realism for Two Entangled Photons

Abstract

It is shown that the Greenberger-Horne-Zeilinger theorem can be generalized to the case with only two entangled particles. The reasoning makes use of two photons which are maximally entangled both in polarization and in spatial degrees of freedom. In contrast to Cabello's argument of "all versus nothing" nonlocality with four photons [Phys. Rev. Lett. 87, 010403 (2001)], our proposal to test the theorem can be implemented with linear optics and thus is well within the reach of current experimental technology.

4 pages, 2 figs / published version, but with typos corrected [e.g., Fig. 2(f)], and with comments on quantum erasure added

References in corpus (8)

• Experimental quantum teleportation
• Bell inequalities for arbitrarily high dimensional systems
• Polarization Entanglement Purification using Spatial Entanglement
• "All versus nothing" inseparability for two observers
• Universal unitary gate for single-photon 2-qubit states
• Secure communication with single-photon two-qubit states
• Violations of local realism with quNits up to N=16
• Entangled qutrits violate local realism stronger than qubits - an analytical proof

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• Deterministic Controlled-NOT gate for single-photon two-qubit quantum logic
• All-Versus-Nothing Violation of Local Realism by Two-Photon, Four-Dimensional Entanglement
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• Multipartite quantum cryptography based on the violation of Svetlichny's inequality
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• Twenty years of quantum contextuality at USTC
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