Quantum / CONCEPT
SpectralRecoveryCorrectness
The computed spectral transpose recovery is exact whenever any represented Kraus left inverse exists. The proof derives observable intertwining from that inverse, then reuses cfc commutation and the computed support identity. Together with the finite Kraus criterion this closes the three-way equivalence in the finite representation.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS0
computed recovery of kraus left inverse
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
- Actual spectral whiteningstructural-affinity · Closed
- ActualChannelAlgebrastructural-affinity · Closed
- Elementary channel divisibilitystructural-affinity · Closed
- FiniteKrausReversibilitystructural-affinity · Closed
- KrausLeftInverseNecessitystructural-affinity · Closed
- OrthogonalSyndromeChannelstructural-affinity · Closed
- OrthogonalSyndromeDecodingstructural-affinity · Closed
- PointwiseTensorGeometrystructural-affinity · Closed
- PointwiseTensorRecoverystructural-affinity · Closed
- SpectralTransposeRecoverystructural-affinity · Closed
- Unitary and doubly extreme decomposition of a qutrit channelstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance