Quantum / CONCEPT
A counterexample to Lin's Conjecture 4.3
Lin's majorization conjecture fails for positive semidefinite three-by-three matrices at exponent four.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH8
DOCUMENT LINKS0
Refutation in dimension three
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A coherence-vector and spectrum product boundstructural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- Charge-sector normalization refutes majorization preservationstructural-affinity · Closed
- Equal coherence roofs on a mixed rank-two statestructural-affinity · Closed
- FactorWidthTwoConestructural-affinity · Closed
- IncoherentConestructural-affinity · Closed
- OverlapLowRankDistancestructural-affinity · Closed
- Unambiguous discrimination without repeated labelsstructural-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
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