3 papers
quant-ph2026
Robust Universal Braiding with Non-semisimple Ising Anyons
Filippo Iulianelli, Sung Kim, Joshua Sussan +1
Non-semisimple extensions of the Ising anyon model developed in our previous work enable universal topological quantum computation via braiding alone, overcoming the Clifford-only…
math.GT2025
Fusion Trees and Homological Representations
Sung Kim
We establish an identification between the spaces of -fusion trees in non-semisimple topological quantum computation (NSS TQC) and a family of homological representations of th…
quant-ph2025
Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory
Filippo Iulianelli, Sung Kim, Joshua Sussan +1
We propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2+1 dimensions. These enhanced the…