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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2017, Volume 138, Pages 99–124 (Mi into217)  

Quantum mappings and characterization of entangled quantum states

S. N. Filippov

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: We review quantum mappings used in problems of characterization of entanglement of two-part and multi-particle systems. Together with positive and $n$-tensorial constant positive mappings, we consider physical dynamical processes that lead to quantum channels that break entanglement, annihilate entanglement, dissociate entanglement of multi-particle states, and prohibit distillation of output states. We introduce a new class of absolutely disentangling channels that provide absolutely separable states at the output, and also characterize a new class of entanglement-imposing channels whose output states are entangled. We present states that are most resistant to loss of entanglementand prove that they may differ from maximally entangled states.

Keywords: quantum channel, positive mapping, quantum entanglement, multi-particle entanglement.

Funding Agency Grant Number
Russian Science Foundation 16-11-00084
This work was partially supported by the Russian Science Foundation (project No. 16-11-00084).


Full text: PDF file (380 kB)

Bibliographic databases:

Document Type: Article
UDC: 530.145, 519.72
MSC: 81P40, 47N50

Citation: S. N. Filippov, “Quantum mappings and characterization of entangled quantum states”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 99–124

Citation in format AMSBIB
\Bibitem{Fil17}
\by S.~N.~Filippov
\paper Quantum mappings and characterization of entangled quantum states
\inbook Quantum computing
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 138
\pages 99--124
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into217}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3801254}


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