Quantum / CONCEPT
Heisenberg Channel Compression Equivalence
Compatibility of a finite POVM family under every isometric compression is equivalent to compatibility under every unital completely positive map.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS0
Compatibility is unchanged by replacing compressions with channels
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
- A counterexample to the Shannon branch-and-bound lower boundstructural-affinity · Closed
- An extreme POVM with rank vector (3,3,2,2,2,2,2,2)structural-affinity · Closed
- An isolated qubit ensemblestructural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- FourQubitParentConstructionstructural-affinity · Closed
- Mitra's white-noise conjecture for qubit observablesstructural-affinity · Closed
- Optimality of the coefficient in the entanglement-breaking norm inequalitystructural-affinity · Closed
- Stationarity of quadratic POVM variationsstructural-affinity · Closed
- The exact compatibility threshold for biased trine qubit measurementsstructural-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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