Quantum probability

and quantum information, noncommutative probability

October 16, 2016 — September 18, 2017

Hilbert space
Figure 1

On real-valued classical probability as a special case of complex-valued quantum probability. More generally (?), non-commutative probability.

Chaitanya Rao, Notes on von Neumann’s algebra formulation of Quantum Mechanics has a side-by-side comparison table, and a reading list for getting up to speed fast.

David Ellerman On Classical and Quantum Logical Entropy: The analysis of measurement advertises an article on this theme.

Terry Tao, maximally general: 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 for free download.

1 References

Allen, Barrett, Horsman, et al. 2017. Quantum Common Causes and Quantum Causal Models.” Physical Review X.
Baez, and Biamonte. 2012. A Course on Quantum Techniques for Stochastic Mechanics.” arXiv:1209.3632.
Carmi, and Moskovich. 2015. Statistics Limits Nonlocality.” arXiv:1507.07514 [Quant-Ph].