Data and Code for "Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code"

2025/05/24 by Junichi Haruna, Keisuke Fujii, Haruna, Junichi +1
Computer Science · #Computational Physics and Python Applications #FOS: Physical sciences #Parallel Computing and Optimization Techniques #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2505.18592

openalex publication_date 2025/05/24 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28

Abstract

Updated Fitting_analysis.ipynb to add error bars

Citations

• Quantum error correction below the surface code threshold
• Efficient soft-output decoders for the surface code
• Good quantum LDPC codes with linear time decoder from lossless expanders
• Asymptotically Good Quantum and Locally Testable Classical LDPC Codes
• Bounds on stabilizer measurement circuits and obstructions to local implementations of quantum LDPC codes
• Quantum LDPC Codes With Positive Rate and Minimum Distance Proportional to the Square Root of the Blocklength
• Topological quantum memory
• Fault-tolerant quantum computation by anyons
• Fault-Tolerant Quantum Computation With Constant Error Rate
• Concatenated Quantum Codes
• Good Quantum Error-Correcting Codes Exist

Related

• Hierarchical Logical Processor on the Rotated Surface Code with Shuttle Buses
• Architectures for Heterogeneous Quantum Error Correction Codes
• Demonstrating dynamic surface codes
• Directional Codes: a new family of quantum LDPC codes on hexagonal- and square-grid connectivity hardware
• Quantum error correction below the surface code threshold