Quantum / CONCEPT
A mixed-state KD-real SLD counterexample
A faithful nine-dimensional mixed state has a KD-real symmetric logarithmic derivative with nonzero quantum Fisher information, refuting the mixed-state exclusion conjecture.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS0
The conjecture is false
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 cooling transition with no ground-space thermal realizationstructural-affinity · Closed
- A mixed-state refutation of skew-coherence polygamystructural-affinity · Closed
- A triangle inequality fails for unified-entropy correlationsstructural-affinity · Closed
- Fisher discord conventionsstructural-affinity · Closed
- Hermitian SLD energystructural-affinity · Closed
- Order-three Renyi information combiningstructural-affinity · Closed
- Refutation of the geometric tangle ansatzstructural-affinity · Closed
- Two reduced states of one three-qutrit state both violate the CGLMP inequalitystructural-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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