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arXiv 2108.02793quant-phgr-qchep-th
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基于探测器的量子场论测量理论

A detector-based measurement theory for quantum field theory

José Polo-Gómez, Luis J. Garay, Eduardo Martín-Martínez

摘要:

我们提出了一个测量理论的基础上与本地化的非相对论系统,耦合协变量子场(如Unruh-DeWitt检测器)的测量。具体地,我们分析了当探测器与场耦合后,对探测器进行理想化测量时,在场上产生的正算子值测度(POVM)。使用信息理论的方法,我们提供了一个相对论模拟的量子力学Lüders更新规则更新的检测器上的测量后的场状态。我们认为,这个提议具有适当测量理论的所有理想特征。特别是它没有遭受“不可能的测量”的问题所指出的拉斐尔索尔金在90年代,这表明,理想化的测量不能用于量子场论。

英文摘要:

We propose a measurement theory for quantum fields based on measurements made with localized non-relativistic systems that couple covariantly to quantum fields (like the Unruh-DeWitt detector). Concretely, we analyze the positive operator-valued measure (POVM) induced on the field when an idealized measurement is carried out on the detector after it coupled to the field. Using an information-theoretic approach, we provide a relativistic analogue to the quantum mechanical Lüders update rule to update the field state following the measurement on the detector. We argue that this proposal has all the desirable characteristics of a proper measurement theory. In particular it does not suffer from the "impossible measurements" problem pointed out by Rafael Sorkin in the 90s which shows that idealized measurements cannot be used in quantum field theory.

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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