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Quantum / CONCEPT

Exact qutrit–qudit APPT maximum purity

For every n at least three, the literal qutrit APPT purity supremum equals the larger candidate purity and is attained by the prescribed diagonal state.

Closed Authored exposition
DIRECT PREREQUISITES9
DIRECT CONSEQUENCES0
PROOF DEPTH12
DOCUMENT LINKS1
THEOREM

Unconditional exact maximum

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Direct recorded relationships
Qutrit APPT purity for n = 10Qutrit APPT purity for n = 10Qutrit APPT purity for n = 3Qutrit APPT purity for n = 3Qutrit APPT purity for n = 4Qutrit APPT purity for n = 4Qutrit APPT purity for n = 5Qutrit APPT purity for n = 5Qutrit APPT purity for n = 6Qutrit APPT purity for n = 6Qutrit APPT purity for n = 7Qutrit APPT purity for n = 7Qutrit APPT purity for n = 8Qutrit APPT purity for n = 8Qutrit APPT purity for n = 9Qutrit APPT purity for n = 9Uniform qutrit APPT spectral boundUniform qutrit APPT spectralboundExact qutrit–qudit APPT maximum purityExact qutrit–qudit APPT maximumpurity
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
12
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Entanglement/AbsolutePPT/QutritQuditMaximumPurity
Repository path
D5/S3/Quantum/Entanglement/AbsolutePPT/QutritQuditMaximumPurity.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.