4 papers · 1 filter
Cored product codes for quantum self-correction in three dimensions
Brenden Roberts, Jin Ming Koh, Yi Tan +1
The existence of self-correcting quantum memories in three dimensions is a long-standing open question at the interface between quantum computing and many-body physics. We take the…
Non-Clifford gates between stabilizer codes via non-Abelian topological order
Rohith Sajith, Zijian Song, Brenden Roberts +2
We propose protocols to implement non-Clifford logical gates between stabilizer codes by entangling into a non-Abelian topological order as an intermediate step. Generalizing previ…
Geometric phases in generalized radical Floquet dynamics
Brenden Roberts, Sagar Vijay, Arpit Dua
The Pancharatnam phase is a generalization of the Berry phase that applies to discrete sequences of quantum states. Here, we show that the Pancharatnam phase is a natural invariant…
Fracton models from product codes
Yi Tan, Brenden Roberts, Nathanan Tantivasadakarn +2
We explore a deep connection between fracton order and product codes. In particular, we propose and analyze conditions on classical seed codes which lead to fracton order in the re…