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Recorded: 2022/01/18 Released: 2022/04/24
Jim discusses Gleason's Theorem with Blake C. Stacey of the University of Massachuesetts - Boston. Gleason's Theorem is a theorem in the foundations of quantum mechanics that, for a system meets some simple requirements, you can find a set of valid staes and a rule for calculating probailities, a la the Born Rule. This is the first part of the interview, the next will be on Blake's discussion of how people are trying to reformulate the Born Rule.
------------------------------------------- Notes:
1. Papers we both read for this program:
- Stacey, B., "On Two Recent Approaches to the Born Rule." (2021) [arXiv]
- L. Masanes, T. D. Galley and M. P. Müller, “The Measurement Postulates of Quantum Mechanics Are Operationally Redundant.” Nature Communications 10, 1361 (2019). [arXiv]
- Hossenfelder, S., "Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements" Found. Phys. 34 193 (2004). [arXiv]
- Physics Frontiers 63: Gleason's Theorem.
- Physics Frontiers 64: Whence Born's Rule?
- Physics Frontiers 64a: The SICs [Subscribers only until 5/27/2022] 3. Blake Stacey's Book:
- Blake Stacey has written a book A First Course in the Sporatic SICs [Amazon]. This book details the use of the strange numbers that Blake and others are using to integrate learning from quantum information theory into quantum foundations. C'mon, it has a section entitled "Quantum Theory from Nonclassical Probability Meshing" -- you have to have it! 4. Related Episodes of Physics Frontiers:
- Physics Frontiers 46: Wigner's Friend
- Physics Frontiers 44: Spooky Action at a Distance
- Physics Frontiers 13: Exotic Photon Trajectories in Quantum Mechanics
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