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math-ph2026
Quantum cellular automata and invertible phases of matter
Corey Jones, Nikita Sopenko, Ryan Thorngren
We introduce and study (fermionic and bosonic) invertible quasi-local algebras over uniformly locally finite metric spaces with infinite-dimensional local von Neumann algebras.…
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-ph2024★ 4 cited
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…