Formal existence and uniqueness of the Reichenbachian common cause on Hilbert lattices
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The Reichenbachian definition of the common cause for two correlating events is formally generalized for the quantum case in two different ways. It is shown that (1) in the first quantum case, unlike in the classical case, there exists a common cause for any two correlating events, and (2) the common cause is not unique either in the classical or in both quantum cases.
KeywordsConditional Probability Pure State Classical Case Quantum Case Boolean Lattice
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