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Bound entanglement maximally violating Bell inequalities: Quantum entanglement is not fully equivalent to cryptographic security

Bound entanglement maximally violating Bell inequalities: Quantum entanglement is not fully equivalent to cryptographic security

It is shown that Smolin four-qubit bound entangled states [J. A. Smolin, Phys. Rev. A 63, 032306 (2001)] can maximally violate the simple two-setting Bell inequality similar to the standard Clauser-Horne-Shimony-Holt (CHSH) inequality. The simplicity of the setting and the robustness of the entanglement make it promising for current experimental …