Abstract I introduce an algorithm to detect one-way quantum information between two interacting quantum systems, i.e. the direction and orientation of the information transfer in arbitrary quantum dynamics. I then build an information-theoretic quantifier of one-way information which satisfies a set of desirable axioms. In particular, it correctly evaluates whether correlation implies one-way quantum information, and when the latter is transferred between uncorrelated systems. In the classical scenario, the quantity measures information transfer between random variables. I also generalize the method to identify and rank concurrent sources of quantum information flow in many-body dynamics, enabling to reconstruct causal patterns in complex networks.

中文翻译：

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单向量子信息的公理测度

摘要 我介绍了一种算法来检测两个相互作用的量子系统之间的单向量子信息，即任意量子动力学中信息传递的方向和方向。然后，我构建了一个满足一组理想公理的单向信息的信息论量词。特别是，它正确地评估了相关性是否意味着单向量子信息，以及后者何时在不相关的系统之间传输。在经典场景中，数量衡量随机变量之间的信息传递。我还概括了在多体动力学中识别和排列并发量子信息流源的方法，从而能够重建复杂网络中的因果模式。