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Topological Quantum Computing
Quantum Simulation
Quantum Foundations
From Multipartite Entanglement to TQFT
arXiv
Authors: Michele Del Zotto, Abhijit Gadde, Pavel Putrov
Year
2026
Paper ID
15772
Status
Preprint
Abstract Read
~2 min
Abstract Words
94
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2026 reference point for readers tracking recent quantum research.
- At long distances, a gapped phase of matter is described by a topological quantum field theory (TQFT).
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