论文标题

线程/状态对应:从位线程到量子线程

Thread/State correspondence: from bit threads to qubit threads

论文作者

Lin, Yi-Yu, Jin, Jie-Chen

论文摘要

从位线和SS(表面/状态)对应关系之间的有趣巧合(两者都与全息RT公式密切相关,我们介绍了以前尚未明确提出的位线程的属性,可以称为线程/状态对应关系(请参阅cite {lin:20222agc} for Predepers for Predepers for Predease)。使用此线程/状态对应关系,我们可以构建与SS对应中一组极大表面相对应的SS状态的显式表达式,并很好地表征了其纠缠结构。基于这种理解,我们使用锁定位线程配置来构建全息量子线模型作为全息原理的新玩具模型,并表明它与全息图张量网络,运动学空间以及SpaceTime的连接性密切相关。

Starting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property of bit threads that has not been explicitly proposed before, which can be referred to as thread/state correspondence (see~\cite{Lin:2022agc} for a brief pre-release version). Using this thread/state correspondence, we can construct the explicit expressions for the SS states corresponding to a set of bulk extremal surfaces in the SS correspondence, and nicely characterize their entanglement structure. Based on this understanding, we use the locking bit thread configurations to construct a holographic qubit threads model as a new toy model of the holographic principle, and show that it is closely related to the holographic tensor networks, the kinematic space, and the connectivity of spacetime.

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