Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
positive definite matrices
|
| gptkbp:field |
gptkb:quantum_information_theory
mathematical analysis operator theory |
| gptkbp:hasApplication |
matrix analysis
quantum entropy inequalities strong subadditivity of quantum entropy |
| https://www.w3.org/2000/01/rdf-schema#label |
Lieb's concavity theorem
|
| gptkbp:namedAfter |
gptkb:Elliott_H._Lieb
|
| gptkbp:publishedIn |
gptkb:Advances_in_Mathematics
|
| gptkbp:sentence |
The map (A,B) ↦ Tr(K* A^p K B^{1-p}) is jointly concave for 0 < p < 1 and positive definite matrices A, B.
|
| gptkbp:yearProved |
1973
|
| gptkbp:bfsParent |
gptkb:Lieb_concavity_theorem
|
| gptkbp:bfsLayer |
7
|