Quantum / CONCEPT
A strong-subadditivity counterexample for subentropy
A Bell pair and an independent maximally mixed qubit violate strong subadditivity of subentropy by exactly one twelfth.
Closed
DIRECT PREREQUISITES13
DIRECT CONSEQUENCES2
PROOF DEPTH9
DOCUMENT LINKS0
Strong subadditivity fails with gap one twelfth
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A Pure Bell State with a Mixed Marginaltruth-dependency · Closed
- A Tight CHSH Witnesstruth-dependency · Closed
- Density-matrix kernels and continuitytruth-dependency · Closed
- Determinant-integral subentropytruth-dependency · Closed
- Environment Records and Selected Fixed Entriestruth-dependency · Closed
- Finite Density States and Quantum Channelstruth-dependency · Closed
- Finite-Dimensional Quantum Skeletonstruth-dependency · Closed
- Input Information Balancetruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Quantum Relative-Entropy Defect Compositiontruth-dependency · Closed
- Qubit Witness Skeletonstruth-dependency · Closed
- The simple-spectrum subentropy formulatruth-dependency · Closed
- Two uniform subentropy valuestruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A counterexample to Zhang–Wu–Fei superadditivitystructural-affinity · Closed
- A mixed-state counterexample to the quantum inverse sumset boundstructural-affinity · Closed
- A Pure Bell State with a Mixed Marginalstructural-affinity · Closed
- An Orthogonal Bell Pair in the Local-Global Residualstructural-affinity · Closed
- Bell-diagonal entanglement distance refutationstructural-affinity · Closed
- Density-matrix kernels and continuitystructural-affinity · Closed
- Determinant-integral subentropystructural-affinity · Closed
- Environment Records and Selected Fixed Entriesstructural-affinity · Closed
- Input Information Balancestructural-affinity · Closed
- The Correlation Blind Spot of Local Marginalsstructural-affinity · Closed
- The simple-spectrum subentropy formulastructural-affinity · Closed
- Two uniform subentropy valuesstructural-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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