Quantum / CONCEPT
The overlap-to-purity part of Kopel's equality theorem
For a fixed rank-one Holevo representation with pure outputs, Kopel's affine overlap equation determines the mean-output purity and forces the nonconstant purity range.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS0
Unit vectors on one ray have the same projector
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
- Centered Kraus trace norm on finite referencesstructural-affinity · Closed
- Comparability of conical-design concurrence boundsstructural-affinity · Closed
- Finite Kraus Quantum Channelsstructural-affinity · Closed
- Finite Record Cosine Obstructionstructural-affinity · Closed
- Finite Record Recovery Errorstructural-affinity · Closed
- Finite Trace Distancestructural-affinity · Closed
- FiniteLocalLatitudeGeometrystructural-affinity · Closed
- Gerzon equality without dimension congruence restrictionsstructural-affinity · Closed
- Negativity is not the partial transpose distance to the PPT statesstructural-affinity · Closed
- OccupationPartialTransposeSpectralstructural-affinity · Closed
- Pure targets prevent general square-root savingsstructural-affinity · Closed
- Real rectangular nuclear-norm additivitystructural-affinity · Closed
- Separable states outside every local-unitary stabilizer framestructural-affinity · Closed
- Sequential Occupation Historystructural-affinity · Closed
- The least trace-distance contraction coefficient over a classical channelstructural-affinity · Closed
- The pure-state HTMB boundstructural-affinity · Closed
- Wigner distance minimum attainmentstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
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