Quantum / CONCEPT
Stationarity of quadratic POVM variations
At an optimum of a finite matrix POVM score, a positive quadratic perturbation of an effect gives an equality between its first-order score and the corresponding weighted total score.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS0
A first-order necessary condition
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
- An adaptive query advantage for four qubit statesstructural-affinity · Closed
- An extreme POVM with rank vector (3,3,2,2,2,2,2,2)structural-affinity · Closed
- An identity ancilla defeats maximal measurement coherence monotonicitystructural-affinity · Closed
- An isolated qubit ensemblestructural-affinity · Closed
- Binary measurement incompatibility under pure lossstructural-affinity · Closed
- CanonicalPositiveRefinementstructural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- FourQubitCompatibilityDegreestructural-affinity · Closed
- FourQubitParentConstructionstructural-affinity · Closed
- Heisenberg Channel Compression Equivalencestructural-affinity · Closed
- Lossy Qubit Partial Joint-Measurability Tightnessstructural-affinity · Closed
- Mitra's white-noise conjecture for qubit observablesstructural-affinity · Closed
- One measurement does not force noncontextualitystructural-affinity · Closed
- Optical-loss purity need not be log-convexstructural-affinity · Closed
- Optimality of the coefficient in the entanglement-breaking norm inequalitystructural-affinity · Closed
- Signalling-game value equalitystructural-affinity · Closed
- Zero-Weight Support Facestructural-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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