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- W2147825063 abstract "Abstract We prove new results on common cause closedness of quantum probability spaces, where by a quantum probability space is meant the projection lattice of a non-commutative von Neumann algebra together with a countably additive probability measure on the lattice. Common cause closedness is the feature that for every correlation between a pair of commuting projections there exists in the lattice a third projection commuting with both of the correlated projections and which is a Reichenbachian common cause of the correlation. The main result we prove is that a quantum probability space is common cause closed if and only if it has at most one measure theoretic atom. This result improves earlier ones published in Gyenis and Redei (2014) . The result is discussed from the perspective of status of the Common Cause Principle. Open problems on common cause closedness of general probability spaces ( L , ϕ ) are formulated, where L is an orthomodular bounded lattice and ϕ is a probability measure on L ." @default.
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- W2147825063 date "2015-11-01" @default.
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- W2147825063 title "Characterizing common cause closedness of quantum probability theories" @default.
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- W2147825063 doi "https://doi.org/10.1016/j.shpsb.2015.08.003" @default.
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