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Entanglement and the topology of tensor networks

Louis Hirsch Kauffman

Published Apr 9, 2021• 0 citations
Publisher

Abstract

Given a background space and a quantum tensor network, we de- scribe 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.
DOI
10.1117/12.2588194

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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.
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