Parallel algebraic surgery for qLDPC codes with constant shuttling depth

arXiv:2609.39874 · quant-ph, physics.atom-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph, physics.atom-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Addressability — 9× in this paper · explained in 1 episode
• Benchmark — 7× in this paper · explained in 2 episodes
• Decode — 3× in this paper · explained in 2 episodes
• Supplemental Material — 3× in this paper
• Hypergraph — 2× in this paper · explained in 2 episodes
• alpha — 2× in this paper · explained in 1 episode
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Graph Construction — 1× in this paper · explained in 3 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Sources

• Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
• Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits
• The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
• Fault-Tolerant Quantum Computing with Trapped Ions: The Walking Cat Architecture
• Mind the gaps: The fraught road to quantum advantage
• Designer Codes from GALA: Compact, Self-Dual, and Rate-1/2 QEC on Reconfigurable Atom Arrays
• High-rate qLDPC processors
• Quantum error correction at ultra-low overhead
• Design Principles for Ultra-High-Rate Quantum Codes
• Ultra-high-distance quantum memories from amplified qLDPC codes
• Nearest-neighbour gates are all you need: High-rate quantum low-density parity-check codes on a planar grid
• High-Rate Surgery: towards constant-overhead logical operations
• Extractors: QLDPC Architectures for Efficient Pauli-Based Computation
• Logical computation with canonical lifted product codes
• QGPU: Parallel logic in quantum LDPC codes
• Error-detected surgery on Iceberg codes
• Full Extractors for Logical Processing in Hypergraph Product Codes
• Logical Spectroscopy: Lifted-Product Codes with Addressable Bases
• High-performance syndrome extraction circuits for quantum codes
• Improved belief propagation is sufficient for real-time decoding of quantum memory

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