Conditioning through indifference in quantum mechanics
This addresses foundational issues in quantum mechanics for researchers, but appears incremental as it builds on existing concepts like desirability and coherence.
The paper tackles the problem of describing uncertainty about a quantum system's state after measurements by deriving a general rule for conditioning based on desirability, coherence, and indifference, and applies it to measurement outcomes.
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.