3 papers
math-ph2026
Universal fusion category symmetries on tensor products of infinite-dimensional Hilbert spaces
Ian Bunner, Corey Jones
We show that anyon chains, after stabilizing with infinite-dimensional ancilla spaces, factorize locally as tensor products of infinite-dimensional Hilbert spaces. This implies tha…
math.QA2026
On the structure of categorical duality operators
Corey Jones, Xinping Yang
We systematically study categorical duality operators on spin (and anyon) chains with respect to an internal fusion category symmetry C. We parameterize duality operators on the qu…
math-ph2025
Quantum cellular automata and categorical dualities of spin chains
Corey Jones, Kylan Schatz, Dominic J. Williamson
Dualities play a central role in the study of quantum spin chains, providing insight into the structure of quantum phase diagrams and phase transitions. In this work we study categ…