Quantum / CONCEPT
Supported entropy equality exactly characterizes fixed Petz recovery
Supported entropy equality exactly characterizes fixed Petz recovery.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES2
PROOF DEPTH10
DOCUMENT LINKS0
Actual entropy equality controls modular functions
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A reference-preserving full-space Petz channeltruth-dependency · Closed
- Actual support coordinates of Petz recoverytruth-dependency · Closed
- Canonical Quantum Channel Data Processingtruth-dependency · Closed
- Logarithm equality forces full finite spectral rigiditytruth-dependency · Closed
- Schwarz and trace rigidity give actual Petz recoverytruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A partial-transpose floor for symmetric tensorsstructural-affinity · Closed
- A quantitative fixed Petz recovery estimatestructural-affinity · Closed
- A reference-preserving full-space Petz channelstructural-affinity · Closed
- Actual Petz core trace stabilitystructural-affinity · Closed
- Actual support coordinates of Petz recoverystructural-affinity · Closed
- Canonical Quantum Channel Data Processingstructural-affinity · Closed
- Entropy defect and inverse-square-root stabilitystructural-affinity · Closed
- Half-trace bounds for partial transpositionstructural-affinity · Closed
- Lieb overlap and the weighted resolvent budgetstructural-affinity · Closed
- Lieb overlap equality and a fixed Petz recoverystructural-affinity · Closed
- Logarithm equality forces full finite spectral rigiditystructural-affinity · Closed
- Schwarz and trace rigidity give actual Petz recoverystructural-affinity · Closed
- Spectral ceilings and the strong Klein remainderstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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