research
Higher-Dimensional Codes Get an Explicit Decoupling Test
A spectral-layer criterion identifies when a translation-invariant topological CSS code can become stacked toric codes.
Summary
A spectral-layer criterion identifies when a translation-invariant topological CSS code can become stacked toric codes.
The work shows that trivial translation action plus vanishing inter-layer gluing is necessary and sufficient after coarse-graining, and gives an algorithm using qudit CNOT and SWAP gates. It is a structural theorem for the defined code class, not a new hardware error rate.
Why it matters
A spectral-layer criterion identifies when a translation-invariant topological CSS code can become stacked toric codes.
Limits and context
- It is a structural theorem for the defined code class, not a new hardware error rate.
Key claims
A spectral-layer criterion identifies when a translation-invariant topological CSS code can become stacked toric codes.
Qualification: It is a structural theorem for the defined code class, not a new hardware error rate.
Evidence: source-2026-10-30-019
Sources
- arXiv preprint 2610.40592, original v1arXiv · primary research
Corrections
No corrections have been recorded for this story.