High-Rate Concatenated Quantum Error-Correcting Codes for Qudits

arXiv:2610.11225 · quant-ph · Submitted 2026-10-08 · Read on arXiv

quant-ph

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Hamming Distance — 7× in this paper · explained in 2 episodes
• Distillation — 5× in this paper · explained in 2 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Anyons — 1× in this paper · explained in 2 episodes
• Computational Tractability — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Quantum codes on a lattice with boundary
• Demonstration of logical qubits and repeated error correction with better-than-physical error rates
• Fault-tolerant quantum computation with a neutral atom processor
• Efficient Implementation of a Quantum Algorithm with a Trapped Ion Qudit
• Photonic Networking of Quantum Memories in High-Dimensions
• Magic State Distillation using Asymptotically Good Codes on Qudits
• Scalable Neural Decoders for Practical Fault-Tolerant Quantum Computation
• A Review of Galois Qudits
• Sdim: A Qudit Stabilizer Simulator
• Bidirectional Decoding for Concatenated Quantum Hamming Codes

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• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
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• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity