Geodesic
Quantum mappings and characterization of entangled quantum states
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum computing, Tome 138 (2017), pp. 99-124

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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
Mots-clés : quantum entanglement, multi-particle entanglement. 
@article{INTO_2017_138_a7,
     author = {S. N. Filippov},
     title = {Quantum mappings and characterization of entangled quantum states},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {99--124},
     publisher = {mathdoc},
     volume = {138},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_138_a7/}
}
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S. N. Filippov. Quantum mappings and characterization of entangled quantum states. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum computing, Tome 138 (2017), pp. 99-124. http://geodesic.mathdoc.fr/item/INTO_2017_138_a7/