4 papers
Duality constrains optimal thresholds in quantum error correction
Lucas H. English, Haoyuan Luo, Yangming Wang +3
Error correction thresholds are often treated as the primary figure of merit for comparing quantum error-correcting code families. We show that the optimal error correction thresho…
Ising on the donut: Regimes of topological quantum error correction from statistical mechanics
Lucas H. English, Sam Roberts, Stephen D. Bartlett +2
Utility-scale quantum computers require quantum error correcting codes with large numbers of physical qubits to achieve sufficiently low logical error rates. The performance of qua…
Explicit Instances of Quantum Tanner Codes
Rebecca Katharina Radebold, Stephen D. Bartlett, Andrew C. Doherty
We construct several explicit instances of quantum Tanner codes, a class of asymptotically good quantum low-density parity check (qLDPC) codes. The codes are constructed using dihe…
Thresholds for post-selected quantum error correction from statistical mechanics
Lucas H. English, Dominic J. Williamson, Stephen D. Bartlett
We identify regimes where post-selection can be used scalably in quantum error correction (QEC) to improve performance. We use statistical mechanical models to analytically quantif…