Quantum / CONCEPT
An isolated qubit ensemble
A four-state qubit ensemble with unequal positive priors has a unique minimum-error POVM. Every completely positive trace-preserving channel sharing an optimal POVM with this ensemble is the identity.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH9
DOCUMENT LINKS0
Four states refute the expectation
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 extreme POVM with rank vector (3,3,2,2,2,2,2,2)structural-affinity · Closed
- Completely useless channels and concatenationstructural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Equivalence of PPT-squared and IPT-squaredstructural-affinity · Closed
- Exact Riemannian contraction coefficients of a qubit CQ channelstructural-affinity · Closed
- FourQubitParentConstructionstructural-affinity · Closed
- Heisenberg Channel Compression Equivalencestructural-affinity · Closed
- Stationarity of quadratic POVM variationsstructural-affinity · Closed
- The optimal coherence created by qubit measurementsstructural-affinity · Closed
- Unit Weight Forces Projection Supportstructural-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
Content history
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