trureturingGitHub MATHEMATICAL ATLAS

QuantumChannels / CONCEPT

The Amplitude-Damping Contraction Ratios Are Pointwise Ordered

For amplitude damping on the Bloch axis the three coherence contraction ratios are pointwise ordered SLD below KM below RLD, the key lemma behind the contraction-spectrum ordering.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH1
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THEOREM

The SLD, KM, and RLD contraction ratios are pointwise ordered

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Double Artanh BoundsDouble Artanh BoundsAmplitude-Damping Coherence Contraction EndpointsAmplitude-Damping CoherenceContraction EndpointsThe 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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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
QuantumChannels
Node ID
D5/S3/QuantumChannels/ContractionSpectrumOrder
Repository path
D5/S3/QuantumChannels/ContractionSpectrumOrder.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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