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量子光学环境中的条件概率

Conditional probabilities in quantum-optical settings

Alfredo Luis

arXiv 2607.21100首次发表:更新:

AI 中文总结

研究量子光学环境中两个互补可观测量联合噪声测量的条件概率,发现条件设定可降不确定性,其分布不能用常规方式表示和推导,通过双零差探测和量子比特测量两种方案进行研究。

AI 中文摘要

我们研究了由两个互补可观测量的联合噪声测量得出的条件概率。结果表明,对一个变量进行条件设定可降低另一个变量的不确定性,甚至能完全消除不确定性。一般而言,条件分布不能用边际正算子值测度和任何物理系统状态以玻恩形式表示,也不能从典型的状态约化规则推导得出。我们在双零差探测和量子比特测量这两种基本量子光学方案中研究了这些问题。

英文摘要

We examine conditional probabilities derived from the joint noisy measurement of two complementary observables. We show that conditioning on one variable can lead to reduction of uncertainty in the other one, even completely eliminating uncertainty. We show that the conditional distribution cannot, in general, be represented in Born form using the marginal positive operator valued measure and any physical system state, nor can it be derived from typical rules of state reduction. We examine these issues in two basic quantum-optical schemes. These are double homodyne detection and a qubit measurement.

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