Classical Probability and Quantum Outcomes
AbstractThere is a contact problem between classical probability and quantum outcomes. Thus, a standard result from classical probability on the existence of joint distributions ultimately implies that all quantum observables must commute. An essential task here is a closer identification of this conflict based on deriving commutativity from the weakest possible assumptions, and showing that stronger assumptions in some of the existing no-go proofs are unnecessary. An example of an unnecessary assumption in such proofs is an entangled system involving nonlocal observables. Another example involves the Kochen-Specker hidden variable model, features of which are also not needed to derive commutativity. A diagram is provided by which user-selected projectors can be easily assembled into many new, graphical no-go proofs.
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Malley, J.D. Classical Probability and Quantum Outcomes. Axioms 2014, 3, 244-259.
Malley JD. Classical Probability and Quantum Outcomes. Axioms. 2014; 3(2):244-259.Chicago/Turabian Style
Malley, James D. 2014. "Classical Probability and Quantum Outcomes." Axioms 3, no. 2: 244-259.