trureturingGitHub MATHEMATICAL ATLAS

QuantumChannels / CONCEPT

Amplitude-Damping Coherence Contraction Endpoints

For amplitude damping on the Bloch axis, the SLD coherence contraction ratio is the constant one minus gamma, while the RLD ratio is bounded by one in the open Bloch interval and tends to one at the pure-state boundary.

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THEOREM

SLD is constant and RLD reaches the unit boundary endpoint

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Amplitude-Damping Coherence Contraction EndpointsAmplitude-Damping CoherenceContraction EndpointsThe Amplitude-Damping Contraction Ratios Are Pointwise OrderedThe Amplitude-DampingContraction Ratios ArePointwise Ordered
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Lean sourceResearch workspace
Status
Closed
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0
Layer
D5/S3
Domain
QuantumChannels
Node ID
D5/S3/QuantumChannels/AmplitudeDampingContraction
Repository path
D5/S3/QuantumChannels/AmplitudeDampingContraction.lean
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sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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