Quantum / CONCEPT
Matrix GNS Identity
Positive trace-one matrix weights are Hilbert-Schmidt norm squares.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES4
PROOF DEPTH0
DOCUMENT LINKS1
Positive matrix weights are Hilbert-Schmidt norm squares
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Absence of Characters on Nontrivial Finite Windowsstructural-affinity · Closed
- Finite Window Algebra Generationstructural-affinity · Closed
- Matrix Self-Pairingstructural-affinity · Closed
- Matrix-State Cone Sectionsstructural-affinity · Closed
- Mixed-State Robertson Uncertaintystructural-affinity · Closed
- Operational Completeness and Classical Separationstructural-affinity · Closed
- Quantum Relative-Entropy Defect Compositionstructural-affinity · Closed
- Zero Norm Propagation for Matrix Statesstructural-affinity · Closed
Documents & exposition
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