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Computing with qLDPC Codes by Climbing the Chain Map Hierarchy
Rahul Sahay, David M. Long, Vedika Khemani
We develop a framework for logical computation with qLDPC codes that places logical Pauli, Clifford, and non-Clifford operations on the same footing. This brings the simple homolog…
Brownian ratchets and pumps universally simulate many-body active dynamics
Charles Stahl, Ethan Lake, Vedika Khemani
Active systems can exhibit a broad range of phenomena forbidden in equilibrium. Their dynamics are often specified by abstract local update rules, and it is generally unclear when…
Non-Abelian Quantum Low-Density Parity Check Codes and Non-Clifford Operations from Gauging Logical Gates via Measurements
Maine Christos, Chiu Fan Bowen Lo, Vedika Khemani +1
In this work, we introduce constructions for non-Abelian qLDPC codes obtained by gauging transversal Clifford gates using measurement and feedback. In particular, we identify two q…
Slow mixing and emergent one-form symmetries in three-dimensional gauge theory
Charles Stahl, Benedikt Placke, Vedika Khemani +1
Symmetry-breaking order at low temperatures is often accompanied by slow relaxation dynamics, due to diverging free-energy barriers arising from interfaces between different ordere…