ER=EPR, GHZ, and the Consistency of Quantum Measurements

TL;DR

This paper explores the ER=EPR conjecture, examining its consistency with quantum mechanics, resolving apparent paradoxes with multi-black hole entanglement, and illustrating how wormholes can visualize quantum teleportation protocols.

Contribution

It demonstrates the consistency of ER=EPR with quantum mechanics and offers a new perspective on entanglement and teleportation through wormholes.

Findings

ER=EPR is consistent with quantum mechanics when considering multi-black hole entanglement.

Entanglement can be visualized as wormholes, providing insights into quantum communication.

Quantum teleportation can be interpreted as information transfer through wormholes.

Abstract

This paper illustrates various aspects of the ER=EPR conjecture.It begins with a brief heuristic argument, using the Ryu-Takayanagi correspondence, for why entanglement between black holes implies the existence of Einstein-Rosen bridges. The main part of the paper addresses a fundamental question: Is ER=EPR consistent with the standard postulates of quantum mechanics? Naively it seems to lead to an inconsistency between observations made on entangled systems by different observers. The resolution of the paradox lies in the properties of multiple black holes, entangled in the Greenberger-Horne-Zeilinger pattern. The last part of the paper is about entanglement as a resource for quantum communication. ER=EPR provides a way to visualize protocols like quantum teleportation. In some sense teleportation takes place through the wormhole, but as usual, classical communication is necessary to complete the protocol.