Quantum probability
and quantum information, noncommutative probability
2016-10-16 — 2026-03-15
Wherein classical real-valued chance is set as a special case of complex quantum measure, and Rao’s table, Tao’s free probability notes, and Woit’s free draft text are noted.
Real-valued classical probability as a special case of complex-valued quantum probability. More generally: non-commutative probability.
Chaitanya Rao’s Notes on von Neumann’s algebra formulation of Quantum Mechanics have a side-by-side comparison table, plus a reading list for getting up to speed fast.
David Ellerman, On Classical and Quantum Logical Entropy: The analysis of measurement, highlights an article on this theme.
Terry Tao, for the maximally general take: Notes on Free probability.
Nonlocality and statistical inference.
Peter Woit has just made the final draft (dated 10/25/16) of his new textbook Quantum Theory, Groups and Representations: An Introduction available as a free download.