Limits RegistryPUBLIC RECORDLimits RegistryResearch Console →A finite-dimensional code detecting arbitrary single-subsystem errors cannot have a universal transversal encoded gate set.
The question, scope, and sources behind this Registry record.
Determine whether exact universal logical computation can be implemented entirely by transversal gates on a finite-dimensional quantum code detecting local errors.
Current frontiers derived from accepted Claims.
The accepted equality closes this optimization result.
Assertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
No accepted machine-checked reproductions are recorded for this Limit.
Limits Registry. LR-003315. Eastin–Knill transversal-gate limitation. 2026.