Geodesic
Estimating the~output entropy of a~tensor product of two quantum channels
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 3, pp. 453-464

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For a class of bipartite quantum states, we find a nontrivial lower bound on the entropy gain resulting from the action of a tensor product of the identity channel with an arbitrary channel. We use the obtained result to bound the output entropy of the tensor product of a dephasing channel with an arbitrary channel from below. We characterize phase-damping channels that are particular cases of dephasing channels.
Keywords: quantum channel, bipartite quantum system, von Neumann entropy.
Mots-clés : entanglement 
@article{TMF_2015_182_3_a4,
     author = {G. G. Amosov},
     title = {Estimating the~output entropy of a~tensor product of two quantum channels},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {453--464},
     publisher = {mathdoc},
     volume = {182},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_182_3_a4/}
}
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G. G. Amosov. Estimating the~output entropy of a~tensor product of two quantum channels. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 3, pp. 453-464. http://geodesic.mathdoc.fr/item/TMF_2015_182_3_a4/