Conditioning through indifference in quantum mechanics

• URL: http://arxiv.org/abs/2502.06249v1
• Date: Mon, 10 Feb 2025 08:27:02 GMT
• Title: Conditioning through indifference in quantum mechanics
• Authors: Keano De Vos, Gert de Cooman,
• Abstract summary: 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.
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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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