Ultra-high-distance quantum memories from amplified qLDPC codes

arXiv:2609.37231 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Comments: initial commit, 26 pages and 5 figures

Code: https://github.com/zijian-liang/dp_

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Core — 22× in this paper · explained in 2 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Hypergraph — 2× in this paper · explained in 2 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Addressability — 1× in this paper · explained in 2 episodes
• CSS Codes — 1× in this paper · explained in 2 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Modularity — 1× in this paper · explained in 9 episodes

Sources

• Mind the gaps: The fraught road to quantum advantage
• Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
• QGPU: Parallel logic in quantum LDPC codes
• High-rate qLDPC processors
• How to factor 2048 bit RSA integers with less than a million noisy qubits
• The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
• Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits
• Nearest-neighbour gates are all you need: High-rate quantum low-density parity-check codes on a planar grid
• Designing fault-tolerant circuits using detector error models
• Distance-Finding Algorithms for Quantum Codes and Circuits
• Coupled-Layer Construction of Quantum Product Codes
• Concatenating Algebraic Codes over High-Rate Quantum LDPC Codes
• A Denser Planar Surface Code
• Entangling logical qubits without physical operations
• Spatial overhead reduction for 2D hypergraph product codes
• Logical computation with canonical lifted product codes
• High-Rate Surgery: towards constant-overhead logical operations
• Coupled-Layer Codes: Beyond Quantum Product Constructions

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• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
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• A quasiparticle-protected superconducting qubit
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians