Quantum / CONCEPT
No single polynomial inequality characterizes bipartite separability
An affine family of qubit–qutrit density operators excludes a single polynomial inequality characterizing separability, even when the polynomial may depend on the local dimensions.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH14
DOCUMENT LINKS0
An affine qubit–qutrit family gives a contradiction
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
- Divisibility does not force entanglement breaking for qutritsstructural-affinity · Closed
- Exact quadbit–quadbit APPT maximum puritystructural-affinity · Closed
- Finite rank-one APPT maximumstructural-affinity · Closed
- Four-by-five APPT maximum puritystructural-affinity · Closed
- Hermitian SLD energystructural-affinity · Closed
- Low-rank separable raysstructural-affinity · Closed
- Maximal walk entanglement from the symmetric coinstructural-affinity · Closed
- The Fuchs–Caves fidelity ROC question is refutedstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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