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…
Efficient Post-Selection for General Quantum LDPC Codes
Seok-Hyung Lee, Lucas H. English, Stephen D. Bartlett
Post-selection strategies that discard low-confidence computational results can significantly improve the effective fidelity of quantum error correction at the cost of reduced acce…
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…
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…