Quantum / CONCEPT
Multi-entropy positivity fails on three qutrits
The fourth replica invariant of the antisymmetric three-qutrit state is -35/58773123072, so the replica invariant need not be positive on normalized pure states.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES1
PROOF DEPTH20
DOCUMENT LINKS0
Two normalization expressions
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 strict gap for the noisy GHZ witness boundstructural-affinity · Closed
- Bilinear coordinates for a ternary translation formstructural-affinity · Closed
- Collective dephasing can preserve negativity while changing the statestructural-affinity · Closed
- Commuting encodings and local reflectionsstructural-affinity · Closed
- FormationBoundsstructural-affinity · Closed
- Identity edge words on finite treesstructural-affinity · Closed
- Low-rank separable raysstructural-affinity · Closed
- Reduction, vanishing criterion, and coarse determination of replica-three stabilizer multi-entropystructural-affinity · Closed
- Separable states outside every local-unitary stabilizer framestructural-affinity · Closed
- Support forests and edge-word reflectionstructural-affinity · Closed
- Ternary partition transport and four-party countingstructural-affinity · Closed
- The ten-setting GHZ witness in odd dimensionsstructural-affinity · Closed
- The ternary replica collapse for four-party stabilizer statesstructural-affinity · Closed
- The unweighted fourth moment does not determine four-edge forest countsstructural-affinity · Closed
- Trace bounds, interpolation and phase rigiditystructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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