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Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States [PDF]
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
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Nilpotent completely positive maps [PDF]
10 ...
Bhat B V Rajarama
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The Curvature and Index of Completely Positive Maps [PDF]
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
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Operational applications of the diamond norm and related measures in quantifying the non-physicality of quantum maps [PDF]
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
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Diagonal unitary and orthogonal symmetries in quantum theory [PDF]
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
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Roots of completely positive maps [PDF]
16 pages, v2: minor corrections, added references, to appear in Lin.
Bhat, B.V.R. +3 more
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Completely positive maps for imprimitive complex reflection groups
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
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Physical Implementability of Linear Maps and Its Application in Error Mitigation [PDF]
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
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Fixed points of completely positive maps and their dual maps
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
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A Classification of Completely Positive Maps
Changguo Wei, Shudong Liu
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