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math.QA2026
Paravortices: loop braid representations with both generators involutive
Paul P. Martin, Eric C. Rowell, Fiona Torzewska
We first motivate the study of a certain quotient of the loop braid category, both for the mathematics underpinning recent approaches to topological quantum computation; and as a k…
math.QA2023
Classification of charge-conserving loop braid representations
Paul Martin, Eric C. Rowell, Fiona Torzewska
Here a loop braid representation is a monoidal functor from the loop braid category to a suitable target category, and is -charge-conserving if that ta…