Asymptotically Good Quantum Codes with Addressable Transversal T Gates

arXiv:2609.35129 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• CSS Codes — 15× in this paper · explained in 2 episodes
• Trace — 13× in this paper · explained in 2 episodes
• Distillation — 11× in this paper · explained in 2 episodes
• Addressability — 6× in this paper · explained in 1 episode
• Embeddings — 5× in this paper · explained in 2 episodes
• Adam — 4× in this paper · explained in 2 episodes
• Homogeneity — 4× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Appending Construction — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• On Constructing and Decoding Quantum Triorthogonal Codes
• Quantum Lego Power-up: Designing Transversal Gates with Tensor Networks
• Transversal gates for quantum CSS codes
• Quantum Codes with Arbitrary Z-Rotation logical Gates and Applications to Fault-Tolerant Code Switching
• Purely-logarithmic-time- and constant-space-overhead fault-tolerant quantum computation
• Asymptotically Good Quantum Codes with Addressable and Transversal Non-Clifford Gates
• Quantum Codes with Addressable and Transversal Non-Clifford Gates
• Parallelizable and addressable transversal non-Clifford gates on good quantum LDPC codes
• Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly
• Realizing Logical Diagonal Gates via Transversal Physical Z-Rotations in CSS Codes

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