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2023

Remote detectability from entanglement bootstrap I: Kirby's torus trick

Shi, Bowen, Huang, Jin-Long, McGreevy, John

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Remote detectability is often taken as a physical assumption in the study of topologically ordered systems, and it is a central axiom of mathematical frameworks of topological quantum field theories.

We show under the entanglement bootstrap approach that remote detectability is a necessary property; that is, we derive it as a theorem.
Starting from a single wave function on a topologically-trivial region satisfying the entanglement bootstrap axioms, we can construct states on closed manifolds.
The crucial technique is to immerse the punctured manifold into the topologically trivial region and then heal the puncture.

Remote detectability from entanglement bootstrap I: Kirby's torus trick · Around

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