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Contextuality and the fundamental theorems of quantum mechanics


Contextuality and the fundamental theorems of quantum mechanics

Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr and later realised more technically by Kochen and Specker.

Contextuality and the fundamental theorems of quantum mechanics

Contextuality is at the heart of quantum theory and is largely responsible for the structural differences between classical and quantum.

Contextuality and the fundamental theorems of quantum mechanics

There is a small number of key theorems in the foundations of quantum theory which throw the differences between classical and quantum in sharp ...

Contextuality and the fundamental theorems of quantum mechanics

Just as in standard quantum mechanics, in algebraic quantum theory, (mathematical) states on a von Neumann algebra are interpreted as physical states of the ...

Contextuality and the fundamental theorems of quantum mechanics

Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr [Albert Einstein: Philosopher-Scientist, Library of Living ...

Contextuality and the fundamental theorems of quantum mechanics

Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr [ Albert Einstein: Philosopher-Scientist, Library of Living ...

Contextuality and the fundamental theorems of quantum mechanics.

Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr and later realised more technically by Kochen and Specker.

Contextuality and the fundamental theorems of quantum mechanics

Contextuality and the fundamental theorems of quantum mechanics ... a reformulation of the Kochen-Specker theorem in the language of presheaves in ...

quantum mechanics - What is contextuality? - Physics Stack Exchange

The Kochen-Specker theorem proves that a map vλ as above cannot exist if the standard description of quantum phenomenology refers to a finite ...

Quantum measurements and contextuality - Journals

(2022) Contextuality and the fundamental theorems of quantum mechanics, Journal of Mathematical Physics, 10.1063/5.0012855, 63:7, Online ...

Quantum contextuality, causality and freedom of choice - PMC - NCBI

A basic tenet of the sheaf-theoretic approach is to describe contextuality in a theory-neutral fashion, without presupposing Quantum Mechanics ...

Kochen–Specker theorem - Wikipedia

It places certain constraints on the permissible types of hidden-variable theories, which try to explain the predictions of quantum mechanics in a context- ...

Revisiting Quantum Contextuality in an Algebraic Framework - HAL

contextuality in standard Quantum Mechanics (QM), and show how it relates to the whole structure of QM through Gleason's theorem and Born's rule ...

Contextuality - SpringerLink

Contextuality. In: Peres, A. (eds) Quantum Theory: Concepts and Methods. Fundamental Theories of Physics, vol 57. Springer, Dordrecht.

Contextuality in Classical Physics and Its Impact on the Foundations ...

... fundamental theory'. Based on this, one would then conclude that any ... Probability Theory in Quantum Mechanics. FTPH 1989, 24, 31–42 ...

Kochen-Specker contextuality - DiVA

(published 19 December 2022). A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum ...

Contextuality and probability in quantum mechanics and beyond

I should also mention the prominent role of the Purdue Winer Memorial Lectures 2014, 'Contextuality from quantum physics to psychology', based ...

Contextuality of General Probabilistic Theories

But what structural property of a theory like quantum mechanics makes it prone to contextuality? ... Oppenheim, Fundamental limitations for ...

Jeremy Butterfield: What is contextuality? - YouTube

Is Quantum Mechanics or General Relativity More Fundamental? Sean ... Bell's Inequality: The weirdest theorem in the world | Nobel Prize 2022.

Revisiting Quantum Contextuality in an Algebraic Framework.

Within basic textbook quantum mechanics (QM), let us consider a complete quantum measurement of a quantity A, where “complete” means with no degeneracy left ...