Noncommutative Martin-Lof randomness : on the concept of a random sequence of qubits

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dc.creatorSegre, Gavriel
dc.date1999-09-21
dc.date1999-10-05
dc.date.accessioned2026-07-07T02:36:00Z
dc.date.available2026-07-07T02:36:00Z
dc.descriptionMartin-Lof's definition of random sequences of cbits as those not belonging to any set of constructive zero Lebesgue measure is reformulated in the language of Algebraic Probability Theory. The adoption of the Pour-El Richards theory of computability structures on Banach spaces allows us to give a natural noncommutative extension of Martin-Lof's definition, characterizing the random elements of a chain Von Neumann algebra. In the particular case of the minimally informative noncommutative alphabet our definition reduces to the definition of a random sequence of qubits.
dc.descriptionrevised version
dc.identifierhttps://arxiv.org/abs/chao-dyn/9909031
dc.identifierhttp://arxiv.org/abs/chao-dyn/9909031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15766
dc.subjectChaotic Dynamics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectComputational Complexity
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleNoncommutative Martin-Lof randomness : on the concept of a random sequence of qubits
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