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Topological quantum field theories (TQFTs) provide a general,minimal-assumption language for describing quantum-state preparation andmeasurement. They therefore provide a general language in which to expressmulti-agent communication protocols, e.g. local operations, classicalcommunication (LOCC) protocols. Here we construct LOCC protocols using TQFT,and show that LOCC protocols induce quantum error-correcting codes (QECCs) onthe agent-environment boundary. Such QECCs can be regarded as implementing, orinducing the emergence of, spacetimes on such boundaries. We investigate thisconnection between inter-agent communication and spacetime using BF andChern-Simons theories, and then using topological M-theory.

Communication protocols and quantum error-correcting codes from the perspective of topological quantum field theory