He covers the principle of the common cause: its shapes and content, formal properties of screening off and explanation, the principle of the common cause and the
Bell inequalities, the principle of the common cause and the causal Markov condition, causal closedness, and causal completability.
Gisin, "Violation of
bell inequalities by photons more than 10 km apart," Physical Review Letters, vol.
Specific topics include error filtration, quantum strong flipping, photon pair generation, entanglement and eavesdropping, single qubit quantum multiparty communication, the relativistic no-cloning theorem, a coarse-grained Schrodinger "cat," a quantum di Finetti theorem for the unitary group, better
Bell inequalities, security of quantum key distribution protocols based on ququarts, linear-optics manipulations of photon-loss codes, biased reconstruction and homodyne tomography, state ordering v.
By explicit constructions of local models it shows how to separate entangled systems, treating the "bad" cases that violate the
Bell inequalities. It follows from these constructions that locality, even in these bad cases, does not entail holism.
The main conclusion is that although relativity is compatible with tenses, relativity plus the notorious
Bell inequalities make the existence of tenses unlikely.
The non-local property of binary lattice space for wavefunction provides the violation of
Bell inequalities [9] in quantum mechanics in terms of faster than-light influence and indefinite property before measurement.
The lack of due consideration for separable hidden variable theories has, in Howard's view, considerably affected the way of looking at the derivation of the
Bell inequalities. He argues that locality is not the only prerequisite for the derivation of
Bell inequalities (Howard [1985]).
Boole's conditions (4), (5), (6) have a special name in the physics literature: they are called
Bell inequalities.(13)
By contrast,
Bell inequalities show that local realism contradicts QM statistical predictions other than the perfect anticorrelations.