Quantum / CONCEPT
Entropy saturation forces a symmetric informationally complete measurement
Saturation of the Haar-averaged output entropy of a Lüders MIC channel forces a SIC.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES0
PROOF DEPTH16
DOCUMENT LINKS0
Entropy saturation forces SIC existence
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Orthogonal Records and Pointer Informationtruth-dependency · Closed
- Quantum: Basictruth-dependency · Closed
- Spectral ceilings and the strong Klein remaindertruth-dependency · Closed
- The two-copy Haar moment and its local ruletruth-dependency · Closed
- Two-point functional calculustruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Actual Density Strong Subadditivitystructural-affinity · Closed
- Even-depth permuted brickwork fails positive semidefinitenessstructural-affinity · Closed
- Orthogonal Records and Pointer Informationstructural-affinity · Closed
- Orthogonal reduction for conditional hockey-stick ratiosstructural-affinity · Closed
- Quantum: Basicstructural-affinity · Closed
- Spectral ceilings and the strong Klein remainderstructural-affinity · Closed
- Subsystem Lanczos positivity failsstructural-affinity · Closed
- The proposed noncommuting Tsallis bound order failsstructural-affinity · Closed
- The two-copy Haar moment and its local rulestructural-affinity · Closed
- Two-point functional calculusstructural-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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