trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Uniform qutrit APPT spectral bound

The first qutrit spectral LMI yields the purity bound 3/(8n) for every n at least 11.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH11
DOCUMENT LINKS0
THEOREM

K1-only uniform purity estimate

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Direct recorded relationships
Boundary cone decompositionBoundary cone decompositionQutrit spectral reductionQutrit spectral reductionUniform qutrit APPT spectral boundUniform qutrit APPT spectralboundExact qutrit–qudit APPT maximum purityExact qutrit–qudit APPT maximumpurity
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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
11
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Entanglement/AbsolutePPT/UniformSpectralBound
Repository path
D5/S3/Quantum/Entanglement/AbsolutePPT/UniformSpectralBound.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.