trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

The skew-information endpoint formula fails

A regular symmetric operator monotone function has a skew-information integrand below both endpoint values, refuting the proposed formula for its least value.

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THEOREM

An interior value below the endpoint bound

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Refutation of Herrera's function-approximation conjectureRefutation of Herrera'sfunction-approximationconjectureThe skew-information endpoint formula failsThe skew-information endpointformula fails
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Information/SkewInformationLambdaRefutation
Repository path
D5/S3/Quantum/Information/SkewInformationLambdaRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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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.