trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Finite-entropy relative entropy and a fixed reference

Bounded trace logarithms define relative entropy on normalized states with finite self entropy.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH13
DOCUMENT LINKS0
THEOREM

Actual bounded logarithms and literal trace

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Entropy centers and one common referenceEntropy centers and one commonreferenceA global entropy center before compactnessA global entropy center beforecompactnessHellinger energy and the trace normHellinger energy and the tracenormZero spectral fibers and actual supportZero spectral fibers and actualsupportFinite-entropy relative entropy and a fixed referenceFinite-entropy relative entropyand a fixed reference
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Lean sourceResearch workspace
Status
Closed
Depth
13
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Analysis/TraceClass/FiniteEntropyRelativeEntropy
Repository path
D5/S3/Quantum/Analysis/TraceClass/FiniteEntropyRelativeEntropy.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.