结不变式和不定因果顺序

Samuel Fedida, Anne-Catherine de la Hamette, Viktoria Kabel, Časlav Brukner
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引用次数: 0

摘要

我们在叠加的类经典时空背景下探讨了事件之间的不定因果顺序。我们引入了几种新的量子来测量任意有限数量的事件和叠加时空构型的因果顺序的不确定性程度。通过构建事件间因果顺序的图解和结论表示,我们发现因果顺序的定义性或最大定义性是拓扑不变的。这揭示了量子因果关系领域与结论之间的一种耐人寻味的联系。此外,我们还提供了不确定因果顺序的操作编码,并讨论了如何将量子相干性度量纳入我们的分类。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Knot invariants and indefinite causal order
We explore indefinite causal order between events in the context of quasiclassical spacetimes in superposition. We introduce several new quantifiers to measure the degree of indefiniteness of the causal order for an arbitrary finite number of events and spacetime configurations in superposition. By constructing diagrammatic and knot-theoretic representations of the causal order between events, we find that the definiteness or maximal indefiniteness of the causal order is topologically invariant. This reveals an intriguing connection between the field of quantum causality and knot theory. Furthermore, we provide an operational encoding of indefinite causal order and discuss how to incorporate a measure of quantum coherence into our classification.
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