15 papers
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…
Diffusion Codes: Self-Correction from Small(er)-Set Expansion with Tunable Non-locality
Adithya Sriram, Vedika Khemani, Benedikt Placke
Optimal constructions of classical LDPC codes can be obtained by choosing the Tanner graph uniformly at random among biregular graphs. We introduce a class of codes that we call ``…
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…
Rare Events and Griffiths Phases in Topological Quantum Error Correction
Adithya Sriram, Nicholas O'Dea, Yaodong Li +2
The performance of quantum error correcting (QEC) codes are often studied under the assumption of spatio-temporally uniform error rates. On the other hand, experimental implementat…
LDPC stabilizer codes as gapped quantum phases: stability under graph-local perturbations
Wojciech De Roeck, Vedika Khemani, Yaodong Li +2
We generalize the proof of stability of topological order, due to Bravyi, Hastings and Michalakis, to stabilizer Hamiltonians corresponding to low-density parity check (LDPC) codes…
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…