trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Quantum Relative-Entropy Defect Composition

Quantum relative-entropy loss telescopes along composable matrix channels.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES10
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Quantum relative-entropy defects form an additive channel chain

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Invariant States of Finite-Dimensional ChannelsInvariant States of Finite-Dimensional ChannelsQuantum Relative-Entropy Defect CompositionQuantum Relative-Entropy DefectCompositionTyped Prime-Language HierarchyTyped Prime-Language HierarchyVon Neumann Entropy Under Basis PinchingVon Neumann Entropy Under BasisPinchingProjection Probability FlowProjection Probability FlowLocal Observation Partial-Trace EquivalenceLocal Observation Partial-TraceEquivalenceFuture Statistics and the Infinite Operator SystemFuture Statistics and theInfinite Operator SystemFinite Kraus Instrument Born MarginalFinite Kraus Instrument BornMarginalWord-Probability Trace RepresentationWord-Probability TraceRepresentationFinite Prime-Time CertificateFinite Prime-Time CertificateInformational Completeness EquivalenceInformational CompletenessEquivalenceMixed-State Robertson UncertaintyMixed-State RobertsonUncertainty
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Divergence/QuantumRelativeEntropyDefectComposition
Repository path
D5/S3/Quantum/Divergence/QuantumRelativeEntropyDefectComposition.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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