Quantum / CONCEPT
Unitary and doubly extreme decomposition of a qutrit channel
Every equal-modulus Haagerup–Musat–Ruskai qutrit channel is a mixture of a unitary conjugation and a rank-three channel extreme in both the unital and trace-preserving completely positive maps.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH9
DOCUMENT LINKS0
The decomposition for all equal-modulus parameters
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
- ActualChannelAlgebrastructural-affinity · Closed
- Elementary channel divisibilitystructural-affinity · Closed
- Equivalence of PPT-squared and IPT-squaredstructural-affinity · Closed
- PointwiseTensorRecoverystructural-affinity · Closed
- Pure product inputs detect signalling through PDM negativitystructural-affinity · Closed
- SpectralRecoveryCorrectnessstructural-affinity · Closed
- The spatiotemporal Born rule dichotomystructural-affinity · Closed
- Whole smooth recoverystructural-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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