Conditioning through indifference in quantum mechanics

Fuente: arXiv
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Auteurs principaux: De Vos, Keano, de Cooman, Gert
Format: Preprint
Publié: 2025
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author De Vos, Keano
de Cooman, Gert
author_facet De Vos, Keano
de Cooman, Gert
contents We can learn (more) about the state a quantum system is in through measurements. We look at how to describe the uncertainty about a quantum system's state conditional on executing such measurements. We show that by exploiting the interplay between desirability, coherence and indifference, a general rule for conditioning can be derived. We then apply this rule to conditioning on measurement outcomes, and show how it generalises to conditioning on a set of measurement outcomes.
format Preprint
id arxiv_https___arxiv_org_abs_2502_06249
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Conditioning through indifference in quantum mechanics
De Vos, Keano
de Cooman, Gert
Quantum Physics
Artificial Intelligence
Probability
We can learn (more) about the state a quantum system is in through measurements. We look at how to describe the uncertainty about a quantum system's state conditional on executing such measurements. We show that by exploiting the interplay between desirability, coherence and indifference, a general rule for conditioning can be derived. We then apply this rule to conditioning on measurement outcomes, and show how it generalises to conditioning on a set of measurement outcomes.
title Conditioning through indifference in quantum mechanics
topic Quantum Physics
Artificial Intelligence
Probability
url https://arxiv.org/abs/2502.06249