Quantum / CONCEPT
An extreme POVM with rank vector (3,3,2,2,2,2,2,2)
An explicit extreme eight-outcome POVM on complex seven-space refutes the proposed rank-vector exclusion.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS0
An explicit counterexample to the exclusion
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
- An adaptive query advantage for four qubit statesstructural-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
- Conditional randomness and uniform attenuationstructural-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
- Rico–Życzkowski nonlinear monotone refutationstructural-affinity · Closed
- Signalling-game value equalitystructural-affinity · Closed
- Stationarity of quadratic POVM variationsstructural-affinity · Closed
- Subadditivity of quantum states over timestructural-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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