trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Analytic trace in an arbitrary basis

Attributed analytic trace infrastructure, used by the original-operator quantum bridge.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH2
DOCUMENT LINKS0
THEOREM

Analytic trace in an arbitrary basis

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Direct recorded relationships
Scalar square-sum Cauchy-SchwarzScalar square-sum Cauchy-SchwarzActual polar factorizationActual polar factorizationAnalytic trace in an arbitrary basisAnalytic trace in an arbitrarybasisHilbert-Schmidt and trace-class compactnessHilbert-Schmidt and trace-classcompactnessThe actual trace-class product and idealThe actual trace-class productand ideal
Proof dependencyStructural affinityDocument link

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Analysis/TraceClass/GeneralIdeal
Repository path
D5/S3/Quantum/Analysis/TraceClass/GeneralIdeal.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.