trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Physical Sector Channel Construction

Actual finite quantum channels and local dilations for the sector encoding.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES4
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Finite Kraus and Stinespring construction

RELATIONSHIP ATLAS

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Direct recorded relationships
Finite Sector Channel ModelFinite Sector Channel ModelFinite Kraus Quantum ChannelsFinite Kraus Quantum ChannelsPartial Trace and Quantum Mutual InformationPartial Trace and QuantumMutual InformationPhysical Sector Channel ConstructionPhysical Sector ChannelConstructionCanonical Quantum Channel Data ProcessingCanonical Quantum Channel DataProcessingActual relative modular modelActual relative modular modelFinite Sector Channel OptimalityFinite Sector ChannelOptimalityFlat Sector Rank FeasibilityFlat Sector Rank Feasibility
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Entanglement/FiniteSectorPhysicalConstruction
Repository path
D5/S3/Quantum/Entanglement/FiniteSectorPhysicalConstruction.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.