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I have added to wave function collapse its relation to the expression for conditional expectation values in quantum probability: here (e.g. Kuperberg 05, section 1.2, Yuan 12)
added some words to make the cross-link with Bayesian interpretation of quantum mechanics, via quantum probability theory more explicit
added pointer to:
John von Neumann, §III.3 and §VI of:
Mathematische Grundlagen der Quantenmechanik, Springer (1932, 1971) [doi:10.1007/978-3-642-96048-2]
Mathematical Foundations of Quantum Mechanics Princeton University Press (1955) [doi:10.1515/9781400889921, Wikipedia entry]
also pointer to
Über die Zustandsänderung durch den Meßprozeß, Ann. Phys. 8 (1951) 322–328 [doi:10.1002/andp.19504430510]
Concerning the state-change due to the measurement process, Ann. Phys. 15 9 (2006) 663-670 [pdf]
with brief commentary
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