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Published November 2015 | Submitted
Journal Article Open

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

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.

Additional Information

© 2015 John Wiley & Sons, Inc. Article first published online: 2 NOV 2015. We thank Sean Carroll, Clifford Cheung, Shamit Kachru, and John Preskill for helpful discussions. This research was supported in part by DOE grant DE-SC0011632 and by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics. N.B. is supported by the DuBridge postdoctoral fellowship at the Walter Burke Institute for Theoretical Physics. G.N.R. is supported by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469.

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