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arXiv 2201.03159hep-phhep-ex
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在对撞机上观测量子干涉的一般分析

A General Analysis for Observing Quantum Interference at Colliders

Andrew J. Larkoski

摘要:

尽管它们具有不可分割的量子力学性质,但由于数据的类型和收集方式,高能粒子对撞机实验中的事件通常很少有明确的量子签名。本文对量子力学的一个特征--希尔伯特空间上的两个正交态之间的干涉,投影到跨越对撞机实验可观测空间的状态的基础上进行了一般性的分析。量子干涉的识别可以被认为是纯态和混合态之间的二元区分,并且我们引入了几种统计测量,这些测量量化了纯态相对于没有干涉的混合态的干涉幅度。粒子物理的两个明确的例子来证明一般形式主义的功能。

英文摘要:

Despite their inextricable quantum mechanical nature, events at a high energy particle collider experiment typically have very few unambiguous quantum signatures, due the type of data and the manner in which they are collected. We present a general analysis of one feature of quantum mechanics, interference between two orthogonal states on Hilbert space, projected onto the basis of states that span a collider experiment observable space. Identification of quantum interference can be considered as a binary discrimination between a pure state and a mixed state, and we introduce several statistical measures that quantify the amplitude of interference in a pure state with respect to a mixed state that exhibits no interference. Two explicit examples from particle physics are provided to demonstrate features of the general formalism.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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