Quantum / CONCEPT
The ternary replica collapse for four-party stabilizer states
For a normalized pure qubit stabilizer state, ternary replica contractions are positive real numbers. Their four-party genuine multi-entropy is determined by the tripartite information.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES3
PROOF DEPTH4
DOCUMENT LINKS0
Scalar homogeneity of the replica contraction
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Multi-entropy positivity fails on three qutritstruth-dependency · Closed
- Reduction, vanishing criterion, and coarse determination of replica-three stabilizer multi-entropytruth-dependency · Closed
- Replica-three stabilizer multi-entropy via graph forms and coarse party partitionstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Bilinear coordinates for a ternary translation formstructural-affinity · Closed
- Binary Lagrangian subspaces in graph formstructural-affinity · Closed
- Coarse three-block partition refinements, triangular inversion, and bipartite masked ranksstructural-affinity · Closed
- Local forms of commuting qubit factorsstructural-affinity · Closed
- Multi-entropy positivity fails on three qutritsstructural-affinity · Closed
- Quadratic amplitudes and the graph form of stabilizer statesstructural-affinity · Closed
- Reduction, vanishing criterion, and coarse determination of replica-three stabilizer multi-entropystructural-affinity · Closed
- Replica-three stabilizer multi-entropy via graph forms and coarse party partitionsstructural-affinity · Closed
- Support forests and edge-word reflectionstructural-affinity · Closed
- Ternary mode orbits and partition countingstructural-affinity · Closed
- Ternary partition transport and four-party countingstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance