Splitting Spacetime and Cloning Qubits: Linking No-Go Theorems across the ER=EPR Duality

TL;DR

This paper explores the connection between quantum no-cloning and spacetime topology change through the ER=EPR duality, revealing how fundamental no-go theorems in quantum mechanics correspond to constraints in gravitational theories.

Contribution

It establishes a duality linking the no-cloning theorem in quantum mechanics to the no-go theorem for topology change in gravity within the ER=EPR framework.

Findings

No-cloning theorem corresponds to topology change no-go theorem in gravity

Duality links quantum entanglement with spacetime geometry constraints

Insights into spacetime-quantum entanglement relationship

Abstract

We analyze the no-cloning theorem in quantum mechanics through the lens of the proposed ER=EPR (Einstein-Rosen = Einstein-Podolsky-Rosen) duality between entanglement and wormholes. In particular, we find that the no-cloning theorem is dual on the gravity side to the no-go theorem for topology change, violating the axioms of which allows for wormhole stabilization and causality violation. Such a duality between important no-go theorems elucidates the proposed connection between spacetime geometry and quantum entanglement.