2 papers
math.GT2025
Colored Jones Polynomials and the Volume Conjecture
Mark Hughes, Vishnu Jejjala, P. Ramadevi +2
Using the vertex model approach for braid representations, we compute polynomials for spin-1 placed on hyperbolic knots up to 15 crossings. These polynomials are referred to as 3-c…
quant-ph2023
Dyck Paths and Topological Quantum Computation
Vivek Kumar Singh, Akash Sinha, Pramod Padmanabhan +1
The fusion basis of Fibonacci anyons supports unitary braid representations that can be utilized for universal quantum computation. We show a mapping between the fusion basis of th…