Quantum / CONCEPT
Schur--Horn Shannon Entropy Monotonicity
A unitary spectral readout cannot decrease finite Shannon entropy.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Unitary spectral readout cannot decrease Shannon entropy
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
- Circulant bracelet sufficiency fails at order twelvestructural-affinity · Closed
- Entropystructural-affinity · Closed
- In-between states do not always minimize Bayesian transmissivity errorstructural-affinity · Closed
- Increasing DomiRank entropy on connected nonregular graphsstructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- Pairwise signs do not give an orthogonal lift at order fivestructural-affinity · Closed
- Shannon Entropy Is Invariant Under Injective Relabelingstructural-affinity · Closed
- Spectral Readout Entropy Equalitystructural-affinity · Closed
- The Entropy-Divergence Consistency Identitystructural-affinity · Closed
- The X-state conditional entropy f_1 need not be weakly unimodalstructural-affinity · Closed
- Weil: Von Neumannstructural-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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