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| related topics |
| {observables, space, algebra} |
| {let, theorem, proof} |
| {measurement, state, measurements} |
| {particle, mechanics, theory} |
| {bell, inequality, local} |
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Representation theorem for obsevables on a quantum logic
Andrei Khrenikov, Olga Nánásiová
abstract: We 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0302053
- categories:
- quant-ph
- arxiv_id:
- quant-ph/0302053
- created:
- 2003-02-07
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