Quantum / CONCEPT
Gibbs Variational Identity
The normalized matrix exponential gives an exact entropy decomposition.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH5
DOCUMENT LINKS0
Gibbs entropy decomposition
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A mixed-state counterexample to the quantum inverse sumset boundtruth-dependency · Closed
- Energy and Information with Initial Correlationstruth-dependency · Closed
- Raw Clause Hamiltonian and Full Tracetruth-dependency · Closed
- The full dual accounttruth-dependency · Closed
- Weighted multicopy designs need not be optimaltruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A mixed-state counterexample to the quantum inverse sumset boundstructural-affinity · Closed
- Energy and Information with Initial Correlationsstructural-affinity · Closed
- Entropy Increase Under Basis Pinchingstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Raw Clause Hamiltonian and Full Tracestructural-affinity · Closed
- Supersymmetric fermion chain: JordanWignerstructural-affinity · Closed
- The full dual accountstructural-affinity · Closed
- Von Neumann Entropy Under Basis Pinchingstructural-affinity · Closed
- Weighted multicopy designs need not be optimalstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance