Fu Shuangshuang, Luo Shunlong
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
Entropy (Basel). 2021 Nov 28;23(12):1594. doi: 10.3390/e23121594.
As a direct consequence of the interplay between the superposition principle of quantum mechanics and the dynamics of open systems, decoherence is a recurring theme in both foundational and experimental exploration of the quantum realm. Decoherence is intimately related to information leakage of open systems and is usually formulated in the setup of "system + environment" as information acquisition of the environment (observer) from the system. As such, it has been mainly characterized via correlations (e.g., quantum mutual information, discord, and entanglement). Decoherence combined with redundant proliferation of the system information to multiple fragments of environment yields the scenario of quantum Darwinism, which is now a widely recognized framework for addressing the quantum-to-classical transition: the emergence of the apparent classical reality from the enigmatic quantum substrate. Despite the half-century development of the notion of decoherence, there are still many aspects awaiting investigations. In this work, we introduce two quantifiers of classicality via the Jordan product and uncertainty, respectively, and then employ them to quantify decoherence from an information-theoretic perspective. As a comparison, we also study the influence of the system on the environment.
作为量子力学叠加原理与开放系统动力学之间相互作用的直接结果，退相干是量子领域基础研究和实验探索中反复出现的主题。退相干与开放系统的信息泄漏密切相关，通常在“系统 + 环境”的设定中被表述为环境（观察者）从系统获取信息。因此，它主要通过相关性（例如量子互信息、量子失协与纠缠）来表征。退相干与系统信息向环境的多个片段的冗余扩散相结合，产生了量子达尔文主义的情形，这如今是一个被广泛认可的用于解决量子到经典转变的框架：即从神秘的量子基元中出现明显的经典实在。尽管退相干概念已有半个世纪的发展，但仍有许多方面有待研究。在这项工作中，我们分别通过约旦积和不确定性引入了两个经典性的量化指标，然后从信息论的角度用它们来量化退相干。作为比较，我们还研究了系统对环境的影响。
