trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Schur Channel Upper Bound

The physical Schur channel has diamond error bounded by the attained spectral minimum.

Closed Authored exposition
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Diamond upper bound from residual spectra

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Finite Moore-Penrose InverseFinite Moore-Penrose InverseFinite Sector Channel ModelFinite Sector Channel ModelFinite Reference Channel DistanceFinite Reference ChannelDistanceFinite Trace DistanceFinite Trace DistanceWeil: SylvesterWeil: SylvesterSchur Channel Upper BoundSchur Channel Upper BoundFinite Sector Channel OptimalityFinite Sector ChannelOptimality
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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Entanglement/FiniteSectorSchurUpper
Repository path
D5/S3/Quantum/Entanglement/FiniteSectorSchurUpper.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.