trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Conditional subentropy and guessing

The simplex-integral conditional subentropy of a classical-quantum state is bounded by guessing min-entropy.

Closed Authored exposition
DIRECT PREREQUISITES11
DIRECT CONSEQUENCES1
PROOF DEPTH14
DOCUMENT LINKS0
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PositiveSimplexGeometryAndMixingPositiveSimplexGeometryAndMixingFinite Density States and Quantum ChannelsFinite Density States andQuantum ChannelsOrthogonal Records and Pointer InformationOrthogonal Records and PointerInformationFinite Detection Dark SpaceFinite Detection Dark SpaceDeterminant-integral subentropyDeterminant-integral subentropyClassical-quantum Gram realizationClassical-quantum GramrealizationThe matrix Gaussian entropy expectationThe matrix Gaussian entropyexpectationGaussian quadratic formsGaussian quadratic formsGuessing probabilityGuessing probabilityPOVM Gram decompositionPOVM Gram decompositionQ_4 is not a maximal renewal minorantQ_4 is not a maximal renewalminorantConditional subentropy and guessingConditional subentropy andguessingVolume ratios for generalized Pauli channelsVolume ratios for generalizedPauli channels
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
14
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Measurement/ConditionalSubentropyGuessingBound
Repository path
D5/S3/Quantum/Measurement/ConditionalSubentropyGuessingBound.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.