Quantum / CONCEPT
Reduction, vanishing criterion, and coarse determination of replica-three stabilizer multi-entropy
The replica-three multi-entropy of any normalized pure qubit stabilizer state reduces explicitly to its two- and three-party coarse-grainings, satisfies a refinement-weight vanishing criterion, and is determined across all nontrivial coarsenings by two- and three-party coarse data.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
Explicit reduction of S_3^{(q)} to two- and three-party coarse-grained multi-entropies
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Coarse three-block partition refinements, triangular inversion, and bipartite masked rankstruth-dependency · Closed
- Replica-three stabilizer multi-entropy via graph forms and coarse party partitionstruth-dependency · Closed
- The ternary replica collapse for four-party stabilizer statestruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Coarse three-block partition refinements, triangular inversion, and bipartite masked ranksstructural-affinity · Closed
- Equal degree differences do not determine stored workstructural-affinity · Closed
- Local forms of commuting qubit factorsstructural-affinity · Closed
- Multi-entropy positivity fails on three qutritsstructural-affinity · Closed
- Odd negative-line parity in linear doiliesstructural-affinity · Closed
- Quadratic amplitudes and the graph form of stabilizer statesstructural-affinity · Closed
- Replica-three stabilizer multi-entropy via graph forms and coarse party partitionsstructural-affinity · Closed
- The ternary replica collapse for four-party stabilizer statesstructural-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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