Conditioning through indifference in quantum mechanics

2025/02/10 by Keano De Vos, De Vos, Keano, Gert de Cooman +1 · 1 voice · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #cs.AI #math.PR #quant-ph

paper · pdf · doi:10.48550/arxiv.2502.06249

openalex publication_date 2025/02/10 · arxiv published 2025/02/10 · arxiv updated 2025/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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Discussions

• Accepted for ISIPTA 2025: a foundation for conservative inference and conditioning for quantum probabilities. Working our way towards IP contributions to quantum computing. arxiv.org/abs/2502.06249 [bsky, 1 points, 0 comments]

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