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quant-ph2026
Copy-cup Gates in Tensor Products of Group Algebra Codes
Ryan Tiew, Nikolas P. Breuckmann
We determine conditions on classical group algebra codes so that they have pre-orientation for cup products and copy-cup gates. This defines quantum codes that have constant-depth…
quant-ph2024
Low-Overhead Entangling Gates from Generalised Dehn Twists
Ryan Tiew, Nikolas P. Breuckmann
We generalise the implementation of logical quantum gates via Dehn twists from topological codes to the hypergraph and balanced products of cyclic codes. These generalised Dehn twi…