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Algebraic ER=EPR and complexity transfer

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BLHW03 - Bridges between holographic quantum information and quantum gravity

I will give an algebraic definition of ER=EPR in the semiclassical limit, which associates bulk spacetime connectivity/disconnectivity to the operator algebraic structure of a quantum gravity system. I’ll also give an independent definition of a quantum wormhole as part of the proposal. This algebraic version of ER=EPR sheds light on a recent puzzle regarding spacetime disconnectivity in holographic systems despite large entanglement. We discuss the emergence of quantum connectivity in the context of black hole evaporation and further argue that at the Page time, the black hole-radiation system undergoes a transition involving the transfer of an emergent type III1 subalgebra of high complexity operators from the black hole to radiation. This turns out to be a general phenomenon that occurs whenever there is an exchange of dominance between twocompeting quantum extremal surfaces.

This talk is part of the Isaac Newton Institute Seminar Series series.

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