Quantum / CONCEPT
Lieb overlap equality and a fixed Petz recovery
One fixed completed Petz channel characterizes actual overlap and entropy equality.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH11
DOCUMENT LINKS0
One recovery before choosing the state or the power
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Actual support coordinates of Petz recoverystructural-affinity · Closed
- Entropy defect and fractional modular stabilitystructural-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
- Schwarz and trace rigidity give actual Petz recoverystructural-affinity · Closed
- Spectral ceilings and the strong Klein remainderstructural-affinity · Closed
- Supported entropy equality exactly characterizes fixed Petz recoverystructural-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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