QuantumBounds / CONCEPT
The balanced-cut gradient bound fails for eight qubits
Four singlets within the two halves of an eight-qubit chain have zero squared total spin and gradient second moment 240, exceeding the proposed balanced-cut bound 48.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH20
DOCUMENT LINKS0
A product of singlets violates the bound
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
- Boundary Rényi magic additivitystructural-affinity · Closed
- Equivalence of PPT-squared and IPT-squaredstructural-affinity · Closed
- Physical EJM Source Noisestructural-affinity · Closed
- QubitWassersteinCouplingsstructural-affinity · Closed
- The fully entangled fraction and the steering-ellipsoid centrestructural-affinity · Closed
- The purification lower bound fails for a qutritstructural-affinity · Closed
- The steering-ellipsoid CHSH boundstructural-affinity · Closed
- Three-qubit stabilizer polar elementsstructural-affinity · Closed
- WassersteinComplexityNonconvexstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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