Quantum Topology Seminar
Louis H Kauffman
UIC, NSU
Entanglement Topology and Tensor Networks
Abstract: We show how to augment a physical space (as topological space) associated with a quantum state tensor network
to form a new topological space where entanglement is realized as topological connection. This provides
a means to discuss the Susskind Hypothesis whose slogan is ER = EPR
(Einstein Rosen Bridge = Einstein Podolsky Rosen quantum action at a distance). In other words Susskind suggests that non-locality is equivalent to topological
connectivity. We go to the roots of this idea and discuss the connectivity concept in terms of the Heyting algebra
associated with the open sets in a topological space. We speculate on how this foundational approach might be related to the topology of wormholes and
"actual" ER.
Thursday April 15, 2021 at 12:00 PM in Zoom