ER=EPR, Entanglement Topology and Tensor Networks

2022/03/18 by Louis H. Kauffman, Kauffman, Louis H. · 1 citation
Physics and Astronomy · #81P40 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #gr-qc #hep-th #msc:81P40 #quant-ph

paper · pdf · doi:10.48550/arxiv.2203.09797

LaTeX document, 12 pages, 11 figures

arxiv created 2022/03/23 · arxiv updated 2022/03/24

Abstract

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.

Cited by

• Time-like Extra Dimensions: Quantum Nonlocality, Spin, and Tsirelson Bound

Related

• Algebraic ER=EPR and Complexity Transfer
• Topological Aspects of Quantum Entanglement
• Realization of "ER=EPR"
• ER=EPR, GHZ, and the Consistency of Quantum Measurements
• Entanglement as a resource for naturalness