用不确定性与偏好关系推导量子状态条件化的新规则
Conditioning through indifference in quantum mechanics
- 基于偏好、一致性和无差异性的交互推导通用条件化规则
- 规则可推广至单次及多测量结果的条件化情形
- 适合量子信息与决策理论交叉研究者阅读
通过测量可以获取更多关于量子系统状态的信息。本文研究如何描述在执行测量后对系统状态的不确定性。通过利用可取性、一致性与无差异性之间的相互作用，推导出一种通用的条件化规则。该规则被应用于测量结果的条件化，并进一步推广到一组测量结果的情形，展现出更强的表达能力与普适性。
原文摘要 · Abstract (English)
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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