Quantum / CONCEPT
Failure of partial-negativity subadditivity
An equal mixture of two orthogonal maximally entangled states on a 5 × 5 system has reduced function 1/2, whereas both marginals have reduced function 1/5. Thus the subadditivity conjecture (24) for the reduced function of the partial negativity is false.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES0
PROOF DEPTH18
DOCUMENT LINKS0
The conjectured inequality fails
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
- A replacement channel and the Schumacher-Westmoreland constructionstructural-affinity · Closed
- Bound coherence in every dimension at least threestructural-affinity · Closed
- Finite Density Purificationstructural-affinity · Closed
- Hermitian SLD energystructural-affinity · Closed
- Local Observation Partial-Trace Equivalencestructural-affinity · Closed
- Robustness of ancilla-free testersstructural-affinity · Closed
- The qutrit overlap entropy bound is unattainablestructural-affinity · Closed
- The sharp A|BC constant of the GHZ measurestructural-affinity · Closed
- Weil: Pos Indexstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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