5 papers · 1 filter
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…
Computing with many encoded logical qubits beyond break-even
Shival Dasu, Matthew DeCross, Andrew Y. Guo +42
High-rate quantum error correcting (QEC) codes encode many logical qubits in a given number of physical qubits, making them promising candidates for quantum computation. Implementi…
Sequential decoding of the XYZ hexagonal stabilizer code
Basudha Srivastava, Yinzi Xiao, Anton Frisk Kockum +2
Quantum error correction requires accurate and efficient decoding to optimally suppress errors in the encoded information. For concatenated codes, where one code is embedded within…
Data-driven decoding of quantum error correcting codes using graph neural networks
Moritz Lange, Pontus Havström, Basudha Srivastava +6
To leverage the full potential of quantum error-correcting stabilizer codes it is crucial to have an efficient and accurate decoder. Accurate, maximum likelihood, decoders are comp…
Exact results on finite size corrections for surface codes tailored to biased noise
Yinzi Xiao, Basudha Srivastava, Mats Granath
The code-capacity threshold of a scalable quantum error correcting stabilizer code can be expressed as a thermodynamic phase transition of a corresponding random-bond Ising model.…