  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.
