Soft decoding for quantum LDPC codes with experimental validation

arXiv:2609.26958 · quant-ph · Submitted 2026-09-22 · Read on arXiv

quant-ph

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Post-Selection — 21× in this paper · explained in 2 episodes
• Decode — 7× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Fidelity — 4× in this paper · explained in 2 episodes
• Distillation — 3× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Hybrid Approach — 1× in this paper · explained in 4 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes
• Stabilizer States — 1× in this paper · explained in 2 episodes

Sources

• Fault-tolerant ancilla preparation and noise threshold lower bounds for the 23-qubit Golay code
• Accuracy threshold for postselected quantum computation
• Magic state cultivation: growing T states as cheap as CNOT gates
• Quantum Teleportation is a Universal Computational Primitive
• Fast logical operations in quantum LDPC codes using simple resource states
• Demonstration of logical qubits and repeated error correction with better-than-physical error rates
• Low-overhead error detection with spacetime codes
• Mid-Circuit Measurements for Clifford Noise Reduction in Hamiltonian Simulations
• Breaking even with magic: demonstration of a high-fidelity logical non-Clifford gate
• Magic state cultivation on a superconducting quantum processor
• Error mitigation for logical circuits using decoder confidence
• Error Mitigation of Fault-Tolerant Quantum Circuits with Soft Information
• Decoder Switching: Breaking the Speed-Accuracy Tradeoff in Real-Time Quantum Error Correction
• Scalable Postselection of Quantum Resources
• Breakeven demonstration of quantum low-density parity-check codes
• Simulating Quantum Error Correction beyond Pauli Stochastic Errors
• Fault-Tolerant Quantum Computing with Trapped Ions: The Walking Cat Architecture
• Approximating optimal decoding of quantum LDPC codes with narrow frontiers

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