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arXiv 2203.09797quant-phgr-qchep-th
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ER = EPR,纠缠拓扑与张量网络

ER=EPR, Entanglement Topology and Tensor Networks

Louis H. Kauffman

摘要:

本文讨论了Susskind和Maldacena的ER = EPR假设,即纠缠黑洞之间通过Einstein-Rosen桥连接,更一般地说,量子纠缠伴随着拓扑连通性。给定一个背景空间和一个量子张量网络,我们描述了如何构造一个新的拓扑空间,将网络和背景空间焊接在一起。这种结构体现了量子纠缠与拓扑连通性密切相关的原理。

英文摘要:

This paper discusses ER = EPR, the hypothesis of Susskind and Maldacena that entangled black holes are connected by an Einstein-Rosen bridge, and that more generally, quantum entanglement is accompanied by topological connectivity. Given a background space and a quantum tensor network, we describe how to construct a new topological space, that welds the network and the background space together. This construction embodies the principle that quantum entanglement and topological connectivity are intimately related.

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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