Quantum / CONCEPT
The fourteen-mode obstruction for parity Majorana codes
A self-orthogonal binary stabilizer space containing parity on at most fourteen modes has a logical operator of weight below four whenever twice its dimension is less than the number of modes.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
Proof of the obstruction
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Binary Character Code Dualitystructural-affinity · Closed
- Binary Simple Graph Cycle Spacesstructural-affinity · Closed
- Edge Connectivity and Binary Gradient Decodingstructural-affinity · Closed
- Edge Connectivity and Binary Gradient Weightstructural-affinity · Closed
- Exact Boolean Budgets at Low Cycle Rankstructural-affinity · Closed
- ModuleCat Homology of a Binary Graph Cycle Spacestructural-affinity · Closed
- Nikandish's subspace orthogonality clique numberstructural-affinity · Closed
- Nonradical lines preserve the full orthogonality graphstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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