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math-ph2023★ 2 cited
Local topological order and boundary algebras
Corey Jones, Pieter Naaijkens, David Penneys +1
We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev's T…
math-ph2023★ 2 cited
DHR bimodules of quasi-local algebras and symmetric quantum cellular automata
Corey Jones
For a net of C*-algebras on a discrete metric space, we introduce a bimodule version of the DHR tensor category and show it is an invariant of quasi-local algebras under isomorphis…