Probability theorems | Quantum measurement | Hilbert space

Gleason's theorem

In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from the usual mathematical representation of measurements in quantum physics together with the assumption of non-contextuality. Andrew M. Gleason first proved the theorem in 1957, answering a question posed by George W. Mackey, an accomplishment that was historically significant for the role it played in showing that wide classes of hidden-variable theories are inconsistent with quantum physics. Multiple variations have been proven in the years since. Gleason's theorem is of particular importance for the field of quantum logic and its attempt to find a minimal set of mathematical axioms for quantum theory. (Wikipedia).

Gleason's theorem
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The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature

In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932

From playlist Algebra

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From playlist Geometry

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From playlist Calculus

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From playlist Machine Learning

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

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From playlist Theory of numbers

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Calculus - The Fundamental Theorem, Part 3

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From playlist Calculus - The Fundamental Theorem of Calculus

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From playlist Wolfram Physics Project Livestream Archive

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From playlist A second course in university calculus.

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From playlist Calculus - The Fundamental Theorem of Calculus

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From playlist Mathematics

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From playlist Cancer (Oncology)

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From playlist Theory of numbers

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From playlist US-India Advanced Studies Institute: Classical and Quantum Information

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From playlist Wolfram Technology Conference 2022

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Marvin Minsky

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From playlist AI talks

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From playlist MIT 21L.432 Understanding Television, Spring 2003

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The Real Guide to Imaginary Companions - Episode 1

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From playlist The Real Guide to Imaginary Companions

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From playlist Abstract algebra

Related pages

Qubit | Module (mathematics) | Determinism | George Mackey | Quantum logic | Vector space | Self-adjoint operator | Solèr's theorem | Andrew M. Gleason | POVM | Continuous function | Unit sphere | Bell's theorem | Lattice (order) | Probability | Isomorphism | Identity matrix | Quaternion | Unit interval | Rational number | Spin (physics) | Compactness theorem | Lemma (mathematics) | Spherical harmonics | John von Neumann | Local hidden-variable theory | Born rule | Field (mathematics) | Uncertainty principle | Constructive proof | Hidden-variable theory | Orthonormal basis | P-adic quantum mechanics | Real number | Stern–Gerlach experiment | Von Neumann algebra | Without loss of generality | Projection (linear algebra) | Compact space | Direct sum | Axiom | Hilbert space | Complex number | Measurement in quantum mechanics | Kochen–Specker theorem | Bloch sphere | Antipodal point | Space (mathematics)