Quantum / CONCEPT
A qutrit obstruction to CP-filter equivalence with the channel transpose
A unital measure-and-prepare channel on three-dimensional complex matrices has diagonal transpose range and noncommuting original range. Complete positivity of a map and its inverse forces an invertible congruence, which cannot identify these ranges.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS1
Refutation of the strong question
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 negative damped spin distribution satisfying the Husimi coefficient boundstructural-affinity · Closed
- A qutrit obstruction to positive/CP factorization of the channel transposestructural-affinity · Closed
- Coherent compression of a positive orbitstructural-affinity · Closed
- Concealment does not determine the adjoint kernelstructural-affinity · Closed
- Data processing fails for the cumulant-based Renyi functional at every order above onestructural-affinity · Closed
- Effect probability extensionstructural-affinity · Closed
- FiniteLocalRecoveryObstructionstructural-affinity · Closed
- Flat-spectrum probe probabilitiesstructural-affinity · Closed
- Fu-Luo decoherence convexity is refutedstructural-affinity · Closed
- Infinitely many extreme classes in matrix D-majorizationstructural-affinity · Closed
- KrausLeftInverseNecessitystructural-affinity · Closed
- Positive refinement rigiditystructural-affinity · Closed
- Relative quantumness can increase under a commutativity-preserving channelstructural-affinity · Closed
- The minimum overlap of orthogonal channel inputsstructural-affinity · Closed
- Unital-block overlap can be less than minus onestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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