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Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States [PDF]

open access: yesEntropy, 2021
A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states.
Katarzyna Siudzińska   +2 more
doaj   +4 more sources

The Curvature and Index of Completely Positive Maps [PDF]

open access: yesProceedings of the London Mathematical Society, 2003
We study conjugacy invariants for completely positive maps that are inspired by the concept of curvature introduced for commuting d-tuples of contractions by ...
Muhly, Paul S., Solel, Baruch
exaly   +4 more sources

Operational applications of the diamond norm and related measures in quantifying the non-physicality of quantum maps [PDF]

open access: yesQuantum, 2021
Although quantum channels underlie the dynamics of quantum states, maps which are not physical channels — that is, not completely positive — can often be encountered in settings such as entanglement detection, non-Markovian quantum dynamics, or error ...
Bartosz Regula, Ryuji Takagi, Mile Gu
doaj   +1 more source

Diagonal unitary and orthogonal symmetries in quantum theory [PDF]

open access: yesQuantum, 2021
We analyze bipartite matrices and linear maps between matrix algebras, which are respectively, invariant and covariant, under the diagonal unitary and orthogonal groups' actions.
Satvik Singh, Ion Nechita
doaj   +1 more source

Roots of completely positive maps [PDF]

open access: yesLinear Algebra and its Applications, 2020
16 pages, v2: minor corrections, added references, to appear in Lin.
Bhat, B.V.R.   +3 more
openaire   +3 more sources

Completely positive maps for imprimitive complex reflection groups

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In 1994, M. Bożejko and R. Speicher proved the existence of completely positive quasimultiplicative maps from the group algebra of Coxeter groups to the set of bounded operators.
H. Randriamaro
doaj   +1 more source

Physical Implementability of Linear Maps and Its Application in Error Mitigation [PDF]

open access: yesQuantum, 2021
Completely positive and trace-preserving maps characterize physically implementable quantum operations. On the other hand, general linear maps, such as positive but not completely positive maps, which can not be physically implemented, are fundamental ...
Jiaqing Jiang, Kun Wang, Xin Wang
doaj   +1 more source

Fixed points of completely positive maps and their dual maps

open access: yesJournal of Inequalities and Applications, 2022
Let A ⊂ B ( H ) $\mathcal {A} \subset{\mathcal {B}}(\mathcal {H})$ be a row contraction and Φ A $\Phi _{\mathcal {A}}$ determined by A $\mathcal {A}$ be a completely positive map on B ( H ) ${\mathcal {B}}(\mathcal {H})$ .
Haiyan Zhang, Yanni Dou
doaj   +1 more source

A Classification of Completely Positive Maps

open access: yesJournal of Applied Mathematics and Physics, 2022
Changguo Wei, Shudong Liu
exaly   +2 more sources

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