research
Non-Abelian Quantum Codes Reached Constant Rate and Linear Distance
A sheaf-code construction also produced an almost-good family whose full code space carries long-range magic.
Summary
A sheaf-code construction also produced an almost-good family whose full code space carries long-range magic.
The framework gauges sheaf codes through cup products, uses explicit logical representatives and proves protection against arbitrary low-weight errors under the stated construction. It is a mathematical coding result, not a fabricated code family demonstrated on quantum hardware.
Why it matters
A sheaf-code construction also produced an almost-good family whose full code space carries long-range magic.
Limits and context
- It is a mathematical coding result, not a fabricated code family demonstrated on quantum hardware.
Key claims
A sheaf-code construction also produced an almost-good family whose full code space carries long-range magic.
Qualification: It is a mathematical coding result, not a fabricated code family demonstrated on quantum hardware.
Evidence: source-2026-09-26-021
Sources
- arXiv preprint 2609.30159arXiv · primary research
Corrections
No corrections have been recorded for this story.