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Interpolation by completely positive maps [PDF]

open access: yesLinear 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-Tung Poon
exaly   +2 more sources

Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion [PDF]

open access: yesQuantum, 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]

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

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

Role of matter coherence in entanglement due to gravity [PDF]

open access: yesQuantum, 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

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

The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra

open access: yesMathematics, 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]

open access: yesOpuscula 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

Nilpotent completely positive maps [PDF]

open access: yesPositivity, 2013
10 ...
Bhat, B. V. Rajarama, Mallick, Nirupama
openaire   +2 more sources

Mapping groundwater vulnerability using drastic method [PDF]

open access: yesE3S Web of Conferences, 2023
Preventive management and protection of groundwater were to create a groundwater vulnerability map. This map provided information distribution on the level of vulnerability to groundwater contamination in an area.
Nurfahasdi Meutia   +5 more
doaj   +1 more source

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