Results 1 to 10 of about 470,444 (191)
Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States [PDF]
Entropy, 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
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Fixed points of completely positive maps and their dual maps
Journal 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
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Completely positive maps [PDF]
Advanced Courses in Mathematics - CRM Barcelona, 2020 We have seen that C*-algebras boast a number of good structural properties that distinguish them from arbitrary Banach algebras. There are various types of maps one could consider between C*-algebras which aim at preserving particular C*-algebraic properties.
Karen R. Strung
semanticscholar +5 more sources
Roots of completely positive maps [PDF]
Linear Algebra and its Applications, 2020 16 pages, v2: minor corrections, added references, to appear in Lin.
Bhat, B.V.R. +3 more
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Nilpotent completely positive maps [PDF]
Positivity, 2013 10 ...
B V Rajarama Bhat, Bhat B V Rajarama
exaly +3 more sources
Approximating quantum channels by completely positive maps with small Kraus rank [PDF]
Quantum, 2017 We study the problem of approximating a quantum channel by one with as few Kraus operators as possible (in the sense that, for any input state, the output states of the two channels should be close to one another).
Cécilia Lancien, Andreas Winter
doaj +2 more sources
Simulating non-completely positive actions via exponentiation of Hermitian-preserving maps
npj Quantum InformationLegitimate quantum operations must adhere to principles of quantum mechanics, particularly the requirements of complete positivity and trace preservation.
Fuchuan Wei +5 more
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Positive maps that are not completely positive [PDF]
Physical Review A, 2000 The concept of the {\em half density matrix} is proposed. It unifies the quantum states which are described by density matrices and physical processes which are described by completely positive maps. With the help of the half-density-matrix representation of Hermitian linear map, we show that every positive map which is not completely positive is a ...
Si-Xia Yu
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There Are Many More Positive Maps Than Completely Positive Maps [PDF]
International Mathematics Research Notices, 2017 Abstract A $\ast$-linear map $\Phi$ between matrix spaces is positive if it maps positive semidefinite matrices to positive semidefinite ones, and is called completely positive if all its ampliations $I_n\otimes \Phi$ are positive. In this article, quantitative bounds on the fraction of positive maps that are completely positive are ...
Klep, Igor +3 more
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Choi representation of completely positive maps in brief [PDF]
Zeitschrift Fur Naturforschung - Section A Journal of Physical SciencesThe Choi representation of completely positive trace preserving (CPTP) maps, i.e. quantum channels is often used in the context of quantum information and computation as it is easy to work with. It is a correspondence between CPTP maps and quantum states
Gabor Homa +2 more
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