Quantum / CONCEPT
A counterexample to the Young-subgroup cross-sum inequality
Fifteen copies of a three-column Gram matrix violate the proposed lower bound for two class-preserving permutation groups.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS0
Fifteen Gram blocks contradict the bound
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
- A counterexample to strict spectral convergencestructural-affinity · Closed
- Amplitude-damping channels resist perfect measure-and-prepare cloningstructural-affinity · Closed
- Noninteger parameters do not ensure injectivity on integer partitionsstructural-affinity · Closed
- OccupationPartialTransposeSpectralstructural-affinity · Closed
- PurifiedLocalPathstructural-affinity · Closed
- QuditPartialEstimationTradeoffstructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-affinity · Closed
- The exact quantum bound for nonlocality depthstructural-affinity · Closed
- The unrestricted two-sided permanent lower bound is falsestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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