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arXiv · 2502.06249

Conditioning through indifference in quantum mechanics

Keano De Vos·Gert de Cooman
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Abstract

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.

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Keano De Vos, Gert de Cooman. 2025-02-10. Conditioning through indifference in quantum mechanics. https://arxiv.org/abs/2502.06249

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