Quantum / CONCEPT
Characterizing rigid alternative means
A scalar characterization of alternative means whose linearizability detects commutation and at most two spectral values.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES5
PROOF DEPTH0
DOCUMENT LINKS0
Necessary and sufficient scalar conditions
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- A counterexample to Wasserstein power monotonicitytruth-dependency · Closed
- Geometric mean lower boundtruth-dependency · Closed
- Off-midpoint obstruction for the original spectral meantruth-dependency · Closed
- Positive normalized stationary tuplestruth-dependency · Closed
- The Fuchs–Caves fidelity ROC question is refutedtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to Wasserstein power monotonicitystructural-affinity · Closed
- Cayley transforms and resolvent incrementsstructural-affinity · Closed
- Endpoint comparison of Gini means on a bounded intervalstructural-affinity · Closed
- Geometric mean lower boundstructural-affinity · Closed
- Gini means and the stationary criterionstructural-affinity · Closed
- Off-midpoint obstruction for the original spectral meanstructural-affinity · Closed
- Positive normalized stationary tuplesstructural-affinity · Closed
- Scalar dependencies of the UNTILDE proofstructural-affinity · Closed
- Stationarity does not ensure comparisonstructural-affinity · Closed
- The Fuchs–Caves fidelity ROC question is refutedstructural-affinity · Closed
- The normalized geometric-mean comparisonstructural-affinity · Closed
- Zero diagonal blocksstructural-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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