Representation theorem for obsevables on a quantum logic

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dc.creatorKhrenikov, Andrei
dc.creatorNánásiová, Olga
dc.date2003-02-07
dc.date.accessioned2026-07-07T06:06:05Z
dc.date.available2026-07-07T06:06:05Z
dc.descriptionWe study a conditional state on a quantum logic using Renyi's approach (or Bayesian principle). This approach helps us to define independence of events and differently from the situation in the classical theory of probability, if an event $a$ is independent of an event $b$, then the event $b$ can be dependent on the event $a$. We will show that we can define a $s$-map (function for simultaneous measurements on a quantum logic). It can be shown that if we have the conditional state we can define the $s$-map and conversely. By using the $s$-map we can introduce joint distribution also for noncompatible observables on a quantum logic.
dc.identifierhttps://arxiv.org/abs/quant-ph/0302053
dc.identifierhttp://arxiv.org/abs/quant-ph/0302053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90855
dc.subjectQuantum Physics
dc.titleRepresentation theorem for obsevables on a quantum logic
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