Foundations of non-commutative probability theory

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 (noncommuting) observables that cannot be observed in the same states is elucidated.

• Type: Conference
• Year: 2009
• Where: TARK
• Authors: Daniel Lehmann
• Keywords: Artificial Intelligence, Original Generalization, Probability Theory, Quantum Mechanics, TARK 2009