collection
Klein-bottle surface code
A homological CSS code on a square cellulation of the Klein bottle. Qubits occupy edges, vertex boundaries give X checks, and face boundaries give Z checks. One pair of rectangle sides is identified normally while the other is reflected; retaining that orientation-reversing seam is what separates this closed nonorientable family from the toric code.
Scoped completion
Completion belongs to an entity, not the whole page
eczoo-entity:klein_bottle#collectionT1 — preserved
Verified formal skeleton
The formal core and displayed claims are provenance-checked. Unlisted facets are not yet surveyed, not negative results.
One orienting visual
Orienting view
Inspect constructor-derived qubits, stabilizers, and logical paths without leaving the entry. Visual instance: L3
At a glance
Executable-target parameters
form: collection formal target: css formal target: topological
Constructor variables
L- linear size of the square fundamental domain; integer at least 3
Reference instances
| Instance | n | k | d |
|---|---|---|---|
| L3 | n=18 verified | k=2 verified | d=3 verified |
| L4 | n=32 verified | k=2 verified | d=4 verified |
Scientific scope
Source, page, and formal object are separate identities
Primary entity: eczoo-entity:klein_bottle#collection. Formalization target: eczoo-entity:klein_bottle#collection. Legacy vocabulary: lossy five-way compatibility projection.
Source/entity binding: clean.