Choi’s theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo linear maps between matrix algebras
gptkbp:describes characterization of completely positive maps
gptkbp:field operator theory
linear algebra
https://www.w3.org/2000/01/rdf-schema#label Choi’s theorem
gptkbp:namedAfter gptkb:Man-Duen_Choi
gptkbp:relatedConcept gptkb:quantum_information_theory
gptkb:Choi_matrix
completely positive map
gptkbp:state A linear map between matrix algebras is completely positive if and only if its Choi matrix is positive semidefinite.
gptkbp:yearProposed 1975
gptkbp:bfsParent gptkb:Arveson’s_extension_theorem
gptkbp:bfsLayer 7