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arXiv · 1804.10067

Born Rule and Logical Inference in Quantum Mechanics

Tsubasa Ichikawa
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Abstract

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.

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Tsubasa Ichikawa. 2018-04-26. Born Rule and Logical Inference in Quantum Mechanics. https://doi.org/10.1093/ptep/ptab135

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