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Topological Quantum Computing
Topological quantum field theory and polynomial identities for graphs on the torus
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Authors: Paul Fendley, Vyacheslav Krushkal
Year
2022
Paper ID
5126
Status
Peer-reviewed
Abstract Read
~2 min
Abstract Words
38
Citations
N/A
Abstract
We establish a relation between the trace evaluation in SO(3) topological quantum field theory and evaluations of a topological Tutte polynomial. As an application, a generalization of the Tutte golden identity is proved for graphs on the torus.
Why This Paper Matters
- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
- It adds a 2022 reference point for readers tracking recent quantum research.
- We establish a relation between the trace evaluation in SO(3) topological quantum field theory and evaluations of a topological Tutte polynomial.
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