Geodesic
Lower estimates for distances from a given quantum channel to certain classes of quantum channels
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum computing, Tome 138 (2017), pp. 125-131

Voir la notice de l'article provenant de la source Math-Net.Ru

By using estimates for the variation of quantum mutual information and the relative entropy of entanglement, we obtain $\varepsilon$-exact lower estimates for distances from a given quantum channels to sets of degraded, anti-degraded, and entanglement-breaking channels. As an auxiliary result, we obtain $\varepsilon$-exact lower estimates for the distance from a given two-particle state to the set of all separable states.
Keywords: quantum state, quantum channel, coherent information, separable states, relative entropy of entanglement. 
@article{INTO_2017_138_a8,
     author = {M. E. Shirokov and A. V. Bulinski},
     title = {Lower estimates for distances from a given quantum channel to  certain classes of quantum channels},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {125--131},
     publisher = {mathdoc},
     volume = {138},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_138_a8/}
}
TY  - JOUR
AU  - M. E. Shirokov
AU  - A. V. Bulinski
TI  - Lower estimates for distances from a given quantum channel to  certain classes of quantum channels
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2017
SP  - 125
EP  - 131
VL  - 138
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2017_138_a8/
LA  - ru
ID  - INTO_2017_138_a8
ER  - 
%0 Journal Article
%A M. E. Shirokov
%A A. V. Bulinski
%T Lower estimates for distances from a given quantum channel to  certain classes of quantum channels
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2017
%P 125-131
%V 138
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2017_138_a8/
%G ru
%F INTO_2017_138_a8
M. E. Shirokov; A. V. Bulinski. Lower estimates for distances from a given quantum channel to  certain classes of quantum channels. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum computing, Tome 138 (2017), pp. 125-131. http://geodesic.mathdoc.fr/item/INTO_2017_138_a8/