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arXiv · 2306.01131

Foundations of non-commutative probability theory (Extended abstract)

Daniel Lehmann
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Abstract

Kolmogorov's setting for probability theory is given an original generalization to account for probabilities arising from Quantum Mechanics. The sample space has a central role in this presentation and random variables, i.e., observables, are defined in a natural way.The mystery presented by the algebraic equations satisfied by (non-commuting) observables that cannot be observed in the same states is elucidated.

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Daniel Lehmann. 2023-06-01. Foundations of non-commutative probability theory (Extended abstract). https://doi.org/10.1145/1562814.1562841

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