Quantum / CONCEPT
Real rectangular nuclear-norm additivity
For nonzero real vector families and positive weights, nuclear-norm additivity holds exactly when their normalized Gram matrices agree.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS0
A real rectangular polar contraction
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
- Centered Kraus trace norm on finite referencesstructural-affinity · Closed
- Comparability of conical-design concurrence boundsstructural-affinity · Closed
- Finite Reference Channel Distancestructural-affinity · Closed
- Finite Trace Distancestructural-affinity · Closed
- Negativity is not the partial transpose distance to the PPT statesstructural-affinity · Closed
- The geometric core of nuclear-norm additivitystructural-affinity · Closed
- The least trace-distance contraction coefficient over a classical channelstructural-affinity · Closed
- The overlap-to-purity part of Kopel's equality theoremstructural-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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