Classification of Generalised Triorthogonal Codes through Length 54

arXiv:2609.30860 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Code: https://github.com/AWillsQuantum/generalised_

Terminology

• Distillation — 14× in this paper · explained in 2 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Computational Tractability — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search
• Magic state cultivation: growing T states as cheap as CNOT gates
• Efficient magic state cultivation with lattice surgery
• Magic state cultivation on a superconducting quantum processor
• Distilling Magic States in the Bicycle Architecture
• Exploring the landscape of compact magic-state distillation factories
• T-count optimization and Reed-Muller codes
• Magic State Distillation via Codes over Binary Extension Fields

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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