trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

A four-dimensional counterexample to the improved swapping bound

The improved product bound for entanglement swapping conjectured by Starke, Basso, Celeri and Maziero fails for two identical partially entangled ququarts: the average is 723/625, whereas the proposed bound is 507/625.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

The bound fails in dimension four

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
A four-dimensional counterexample to the improved swapping boundA four-dimensionalcounterexample to the improvedswapping boundHiguchiSudberyEntropyMaximumHiguchiSudberyEntropyMaximum
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.