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From Multipartite Entanglement to TQFT
Michele Del Zotto, Abhijit Gadde, Pavel Putrov·February 18, 2026
hep-thcond-mat.str-elMathematical Physicsmath.QAQuantum Physics
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Abstract
At long distances, a gapped phase of matter is described by a topological quantum field theory (TQFT). We conjecture a tight and concrete relationship between the genuine $(d+1)$-partite entanglement -- labelled by a $d$-dimensional manifold $M$ -- in the ground state of a $(d-1)+1$-dimensional gapped theory and the partition function of the low energy TQFT on $M$. In particular, the conjecture implies that for $d=3$, the ground state wavefunction can determine the modular tensor category description of the low energy TQFT. We verify our conjecture for general (2+1)-dimensional Levin-Wen string-net models.