Results 21 to 30 of about 470,444 (191)
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
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Diagonal unitary and orthogonal symmetries in quantum theory [PDF]
Quantum, 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
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Completely positive maps for imprimitive complex reflection groups
Karpatsʹkì 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
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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
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Unraveling-paired dynamical maps recover the input of quantum channels
New Journal of Physics, 2023 We explore algebraic and dynamical consequences of unraveling general time-local master equations. We show that the ‘influence martingale’, the paramount ingredient of a recently discovered unraveling framework, pairs any time-local master equation with ...
Brecht Donvil +1 more
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Categories of Quantum and Classical Channels (extended abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We introduce the CP*–construction on a dagger compact closed category as a generalisation of Selinger's CPM-construction. While the latter takes a dagger compact closed category and forms its category of "abstract matrix algebras" and completely positive
Bob Coecke +2 more
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When the Assignment Map Is Completely Positive [PDF]
Open Systems & Information Dynamics, 2018 Finding the general set of system-environment states {ρSE} for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [7], where the problem was solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [8]. This, we
Iman Sargolzahi, Sayyed Yahya Mirafzali
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Stinespring’s theorem for unbounded operator valued local completely positive maps and its applications [PDF]
, 2020 Anar A. Dosiev in [Local operator spaces, unbounded operators and multinormed $C^*$-algebras, J. Funct. Anal. 255 (2008), 1724-1760], obtained a Stinespring's theorem for local completely positive maps (in short: local CP-maps) on locally $C^{\ast ...
B. Bhat +2 more
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Construction of propagators for divisible dynamical maps
New Journal of Physics, 2021 Divisible dynamical maps play an important role in characterizing Markovianity on the level of quantum evolution. Divisible maps provide an important generalization of Markovian semigroups. Usually one analyzes either completely positive or just positive
Ujan Chakraborty, Dariusz Chruściński
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BURES DISTANCE FOR COMPLETELY POSITIVE MAPS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013 Bures had defined a metric on the set of normal states on a von Neumann algebra using GNS representations of states. This notion has been extended to completely positive maps between C*-algebras by Kretschmann, Schlingemann and Werner. We present a Hilbert C*-module version of this theory.
Bhat, B. V. Rajarama, Sumesh, K.
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