AbstractWe consider a class of positive linear maps in the three-dimensional matrix algebra, which are generalizations of the positive linear map constructed by Choi in the relation with positive semidefinite biquadratic forms. We find conditions for which such maps are completely positive, completely copositive, decomposable, and two-positive
AbstractWe find a large class of atomic positive linear maps between n-dimensional matrix algebras, ...
International audienceWe prove that the PPT$^2$ conjecture holds for linear maps between matrix alge...
Positive maps are essential in the description of quantum systems. However, characterization of the ...
AbstractWe consider a class of positive linear maps in the three-dimensional matrix algebra, which a...
AbstractWe consider a class of positive linar maps from the n-dimensional matrix algebra into itself...
AbstractWe provide examples of positive maps in Mn(C) (n ⩾ 4) which cannot be decomposed into a sum ...
AbstractWe classify a series of positive maps in low dimensional matrix algebras with respect to the...
AbstractCharacterization theorems and other results for the cone of completely copositive linear tra...
AbstractThere is a concrete example of a positive linear map from M2 to M4 which is not decomposable...
AbstractA linear map Φ from Mn to Mm is completely positive iff it admits an expression Φ(A)=ΣiV∗iAV...
AbstractCharacterizations are given of copositive, strictly copositive, and copositive plus matrices...
AbstractCharacterizations are given for the positive and completely positive maps on n × n complex m...
AbstractA symmetric matrix C is called copositive if the quadratic form x′Cx is nonnegative for all ...
AbstractA symmetric matrix C is said to be copositive if its associated quadratic form is nonnegativ...
In this paper we give a first study of perfect copositive $n \times n$matrices. They can be used to ...
AbstractWe find a large class of atomic positive linear maps between n-dimensional matrix algebras, ...
International audienceWe prove that the PPT$^2$ conjecture holds for linear maps between matrix alge...
Positive maps are essential in the description of quantum systems. However, characterization of the ...
AbstractWe consider a class of positive linear maps in the three-dimensional matrix algebra, which a...
AbstractWe consider a class of positive linar maps from the n-dimensional matrix algebra into itself...
AbstractWe provide examples of positive maps in Mn(C) (n ⩾ 4) which cannot be decomposed into a sum ...
AbstractWe classify a series of positive maps in low dimensional matrix algebras with respect to the...
AbstractCharacterization theorems and other results for the cone of completely copositive linear tra...
AbstractThere is a concrete example of a positive linear map from M2 to M4 which is not decomposable...
AbstractA linear map Φ from Mn to Mm is completely positive iff it admits an expression Φ(A)=ΣiV∗iAV...
AbstractCharacterizations are given of copositive, strictly copositive, and copositive plus matrices...
AbstractCharacterizations are given for the positive and completely positive maps on n × n complex m...
AbstractA symmetric matrix C is called copositive if the quadratic form x′Cx is nonnegative for all ...
AbstractA symmetric matrix C is said to be copositive if its associated quadratic form is nonnegativ...
In this paper we give a first study of perfect copositive $n \times n$matrices. They can be used to ...
AbstractWe find a large class of atomic positive linear maps between n-dimensional matrix algebras, ...
International audienceWe prove that the PPT$^2$ conjecture holds for linear maps between matrix alge...
Positive maps are essential in the description of quantum systems. However, characterization of the ...