Quantum / CONCEPT
Canonical Quantum Channel Data Processing
Support-aware quantum relative entropy decreases under every finite quantum channel.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES5
PROOF DEPTH8
DOCUMENT LINKS0
Norm-saturated diagonal logarithm comparison
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Actual relative modular modeltruth-dependency · Closed
- Entropy Production by Coherence Deletiontruth-dependency · Closed
- Physical Sector Channel Constructiontruth-dependency · Closed
- Support-Aware Quantum Relative Entropytruth-dependency · Closed
- Weil: Hermitian Pos Parttruth-dependency · Closed
- Weil: Rank Tracetruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
- Actual support coordinates of Petz recoverytruth-dependency · Closed
- ProductMarginZhangYeungtruth-dependency · Closed
- Schwarz and trace rigidity give actual Petz recoverytruth-dependency · Closed
- Supported entropy equality exactly characterizes fixed Petz recoverytruth-dependency · Closed
- The three-state root-fidelity Holevo boundtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A partial-transpose floor for symmetric tensorsstructural-affinity · Closed
- Actual relative modular modelstructural-affinity · Closed
- Actual support coordinates of Petz recoverystructural-affinity · Closed
- Entropy defect and integrated resolvent stabilitystructural-affinity · Closed
- Entropy defect and inverse-square-root stabilitystructural-affinity · Closed
- Entropy defect and resolvent stabilitystructural-affinity · Closed
- Entropy Production by Coherence Deletionstructural-affinity · Closed
- Half-trace bounds for partial transpositionstructural-affinity · Closed
- Physical Sector Channel Constructionstructural-affinity · Closed
- ProductMarginEntropyCertificatestructural-affinity · Closed
- ProductMarginZhangYeungstructural-affinity · Closed
- Resolvent defect identity and coercive rigiditystructural-affinity · Closed
- Schwarz and trace rigidity give actual Petz recoverystructural-affinity · Closed
- Spectra of symmetric two-qubit witnessesstructural-affinity · Closed
- Support-Aware Quantum Relative Entropystructural-affinity · Closed
- Supported entropy equality exactly characterizes fixed Petz recoverystructural-affinity · Closed
- The pure-state HTMB boundstructural-affinity · Closed
- The three-state root-fidelity Holevo boundstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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