trureturingGitHub MATHEMATICAL ATLAS

QuantumChannels / CONCEPT

Amplitude-Damping Contraction Suprema Are Ordered

The pointwise SLD-KM-RLD amplitude-damping order lifts to the corresponding positive open-axis suprema of the scalar contraction-ratio model.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

The positive-axis contraction-ratio suprema are ordered

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The Amplitude-Damping Contraction Ratios Are Pointwise OrderedThe Amplitude-DampingContraction Ratios ArePointwise OrderedAmplitude-Damping Contraction Suprema Are OrderedAmplitude-Damping ContractionSuprema Are Ordered
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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
QuantumChannels
Node ID
D5/S3/QuantumChannels/ContractionSupremumOrder
Repository path
D5/S3/QuantumChannels/ContractionSupremumOrder.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.