QuantumChannels / CONCEPT
Compatibility need not imply Jordan compatibility
Two compatible channels on four-dimensional complex matrices need not be Jordan compatible.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES0
PROOF DEPTH17
DOCUMENT LINKS0
A compatible pair in dimension four
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A quantum behavior with rank of contextuality threetruth-dependency · Closed
- A qubit pure-program obstructiontruth-dependency · Closed
- Finite Kraus Representationstruth-dependency · Closed
- KrausCompletiontruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Weil: Rank Tracetruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A perp hyperplane and classical hexagon intersectionsstructural-affinity · Closed
- A quantum behavior with rank of contextuality threestructural-affinity · Closed
- A qubit pure-program obstructionstructural-affinity · Closed
- Finite Kraus Representationsstructural-affinity · Closed
- Five-Mode Phase Liftstructural-affinity · Closed
- Five-Mode Two-Copy Phase Magnitudestructural-affinity · Closed
- Full-Support Native Window Laws and Actual Null Continuationstructural-affinity · Closed
- KrausCompletionstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Weil: Rank Tracestructural-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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