QuantumChannels / CONCEPT
Divisibility does not force entanglement breaking for qutrits
A divisible qutrit channel lies outside the closure of P-divisible dynamical endpoints and is not entanglement breaking.
Closed
DIRECT PREREQUISITES7
DIRECT CONSEQUENCES0
PROOF DEPTH14
DOCUMENT LINKS0
A divisible qutrit counterexample
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Empirical and Reflexive Completeness Separatetruth-dependency · Closed
- Equivalence of PPT-squared and IPT-squaredtruth-dependency · Closed
- Exact quadbit–quadbit APPT maximum puritytruth-dependency · Closed
- Lindblad embeddability of the noisy Werner-Holevo channeltruth-dependency · Closed
- Relative quantumness can increase under a commutativity-preserving channeltruth-dependency · Closed
- The Perito Bell bound and its attaining strategytruth-dependency · Closed
- TracePreservingEigenvalueBoundtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Empirical and Reflexive Completeness Separatestructural-affinity · Closed
- Equivalence of PPT-squared and IPT-squaredstructural-affinity · Closed
- Exact quadbit–quadbit APPT maximum puritystructural-affinity · Closed
- Finite rank-one APPT maximumstructural-affinity · Closed
- Lindblad embeddability of the noisy Werner-Holevo channelstructural-affinity · Closed
- No single polynomial inequality characterizes bipartite separabilitystructural-affinity · Closed
- Optimal witnesses with an optimal sumstructural-affinity · Closed
- Relative quantumness can increase under a commutativity-preserving channelstructural-affinity · Closed
- The Perito Bell bound and its attaining strategystructural-affinity · Closed
- TracePreservingEigenvalueBoundstructural-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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