Quantum / CONCEPT
A counterexample to Zhang–Wu–Fei superadditivity
A maximally mixed two-qubit input and a full-rank correlated diagonal reference contradict relative-entropy superadditivity.
Closed
DIRECT PREREQUISITES7
DIRECT CONSEQUENCES0
PROOF DEPTH10
DOCUMENT LINKS0
The conjecture fails for two qubits
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A strong-subadditivity counterexample for subentropytruth-dependency · Closed
- Entropy Production by Coherence Deletiontruth-dependency · Closed
- Finite Density States and Quantum Channelstruth-dependency · Closed
- Partial Trace and Quantum Mutual Informationtruth-dependency · Closed
- Projection Probability Flowtruth-dependency · Closed
- Quantum Relative-Entropy Defect Compositiontruth-dependency · Closed
- Refutation of completely contractive CMI data processingtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A mixed-state counterexample to the quantum inverse sumset boundstructural-affinity · Closed
- A strong-subadditivity counterexample for subentropystructural-affinity · Closed
- Entropy Production by Coherence Deletionstructural-affinity · Closed
- Finite Density States and Quantum Channelsstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Projection Probability Flowstructural-affinity · Closed
- Quantum Relative-Entropy Defect Compositionstructural-affinity · Closed
- Refutation of completely contractive CMI data processingstructural-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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