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quant-ph2024★ 2 cited
A local automaton for the 2D toric code
Shankar Balasubramanian, Margarita Davydova, Ethan Lake
We construct a local decoder for the 2D toric code using ideas from the hierarchical classical cellular automata of Tsirelson and Gács. Our decoder is a circuit of strictly local q…
quant-ph2024★ 1 cited
Exponentially slow thermalization and the robustness of Hilbert space fragmentation
Yiqiu Han, Xiao Chen, Ethan Lake
The phenomenon of Hilbert space fragmentation, whereby dynamical constraints fragment Hilbert space into many disconnected sectors, provides a simple mechanism by which thermalizat…