QuantumBounds / CONCEPT
Collision Entropy versus Shannon Entropy
The order-two collision expression is bounded by Shannon entropy, with equality exactly at laws uniform on their positive support.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
Order-two collision entropy is at most Shannon entropy
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
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Prerequisites
Certified topology / DOWNSTREAM
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RELATED KNOWLEDGE
Structural connections
- Collision-Entropy Uncertaintystructural-affinity · Closed
- Conditional Entropy and Its Chain Rulestructural-affinity · Closed
- Differential Entropy Change of Variablesstructural-affinity · Closed
- Maximum Entropy on a Finite Alphabetstructural-affinity · Closed
- Mutual Information as an Entropy Balancestructural-affinity · Closed
- Shannon Entropy Is Invariant Under Injective Relabelingstructural-affinity · Closed
- Symmetry of Finite Mutual Informationstructural-affinity · Closed
- The Entropy-Divergence Consistency Identitystructural-affinity · Closed
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