Born Rule and Logical Inference in Quantum Mechanics
| Autor: | Tsubasa Ichikawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Quantum Physics Statement (logic) Hilbert space General Physics and Astronomy Inference FOS: Physical sciences Extension (predicate logic) Measure (mathematics) symbols.namesake Probability theory Complete information Quantum mechanics Computer Science::Logic in Computer Science symbols Born rule Quantum Physics (quant-ph) |
| Popis: | Logical inference leads to one of the major interpretations of probability theory called logical interpretation, in which the probability is seen as a measure of the plausibility of a logical statement under incomplete information. In this paper, assuming that our usual inference procedure makes sense for every set of logical propositions represented in terms of commuting projectors on a given Hilbert space, we extend the logical interpretation to quantum mechanics and derive the Born rule. Our result implies that, from the epistemological viewpoints, we can regard quantum mechanics as a natural extension of the classical probability. substantially rewritten, 18 pages, no figures. Comments are welcome |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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