Results 1 to 10 of about 8,032,026 (299)
A completely positive map associated with a positive map [PDF]
Pacific Journal of Mathematics, 2011 We show that each positive map from B(K) to B(H) with K and H finite dimensional Hilbert spaces is a scalar multiple of a map of the form $Tr - ψ$ with $ψ$ completely positive. This is used to give necessary and sufficient conditions for maps to be C-positive for a large class of mapping cones; in particular we apply the results to k-positive maps.
Erling Størmer
exaly +3 more sources
The Curvature and Index of Completely Positive Maps [PDF]
Proceedings 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
Interpolation by completely positive maps [PDF]
Linear and Multilinear Algebra, 2011 Given commuting families of Hermitian matrices {A 1, … , A k } and {B 1, … , B k }, conditions for the existence of a completely positive map Φ, such that Φ(A j ) = B j for j = 1, … , k, are studied. Additional properties such as unital or/and trace preserving on the map Φ are also considered.
Chi-Kwong Li, Yiu Poon
exaly +2 more sources
Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion [PDF]
Quantum, 2023 Accurate modeling of decoherence errors in quantum processors is crucial for analyzing and improving gate fidelities. To increase the accuracy beyond that of the Lindblad dynamical map, several generalizations have been proposed, and the exploration of ...
Ziwen Huang +5 more
doaj +1 more source
Operational applications of the diamond norm and related measures in quantifying the non-physicality of quantum maps [PDF]
Quantum, 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
Physical Implementability of Linear Maps and Its Application in Error Mitigation [PDF]
Quantum, 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
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
openaire +3 more sources
Role of matter coherence in entanglement due to gravity [PDF]
Quantum, 2022 We investigate the quantum nature of gravity in terms of the coherence of quantum objects. As a basic setting, we consider two gravitating objects each in a superposition state of two paths.
Akira Matsumura
doaj +1 more source
The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra
Mathematics, 2021 Let H be a finite Hopf C*-algebra and A a C*-algebra of finite dimension. In this paper, we focus on the crossed product A⋊H arising from the action of H on A, which is a ∗-algebra.
Xiaomin Wei, Lining Jiang, Dianlu Tian
doaj +1 more source
A note on Radon-Nikodým derivatives and similarity for completely bounded maps [PDF]
Opuscula Mathematica, 2009 We point out a relation between the Arveson's Radon-Nikodým derivative and known similarity results for completely bounded maps. We also consider Jordan type decompositions coming out from Wittstock's Decomposition Theorem and illustrate, by an example ...
Aurelian Gheondea, Ali Şamil Kavruk
doaj +1 more source