trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Qubit Generalized Fidelity and Failure of Data Processing

A fixed bit-flip qubit channel strictly increases the squared generalized Bures--Wasserstein quantity throughout an explicit interval of reference states.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

A complete interval counterexample

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Finite Kraus Quantum ChannelsFinite Kraus Quantum ChannelsPhase Damping in Selected CoordinatesPhase Damping in SelectedCoordinatesQubit Generalized Fidelity and Failure of Data ProcessingQubit Generalized Fidelity andFailure of Data ProcessingRoot Fidelity and Binary PreparationRoot Fidelity and BinaryPreparationFixed-Pair Convexity of Generalized FidelityFixed-Pair Convexity ofGeneralized FidelityOrthogonality with fewer effects than dimensionsOrthogonality with fewereffects than dimensions
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/GeneralizedFidelity
Repository path
D5/S3/Quantum/GeneralizedFidelity.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.