Entropy threshold: A simple proxy for performance of quantum error correction

arXiv:2609.39016 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Degeneracy — 15× in this paper · explained in 3 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• Anyons — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes

Sources

• Minimum Weight Decoding in the Colour Code is NP-hard
• The color code, the surface code, and the transversal CNOT: NP-hardness of minimum-weight decoding
• Ising on the donut: Regimes of topological quantum error correction from statistical mechanics
• Kinetics of sliding-window quantum error correction
• Optimal Circuit-Level Decoding for Surface Codes
• Less Bacon More Threshold
• Bacon-Shor Board Games
• Improved quantum error correction using soft information

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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