Inverse coding theorem for infinite-dimensional quantum channels
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 32-37 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we make a conjecture about the quantum capacity of an infinite-dimensional quantum channel. The proof of the inverse theorem is given based on definitions and properties of the coherent information in the infinite-dimensional case.
@article{VMUMM_2013_1_a5,
     author = {A. A. Kuznetsova},
     title = {Inverse coding theorem for infinite-dimensional quantum channels},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {32--37},
     year = {2013},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a5/}
}
TY  - JOUR
AU  - A. A. Kuznetsova
TI  - Inverse coding theorem for infinite-dimensional quantum channels
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2013
SP  - 32
EP  - 37
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a5/
LA  - ru
ID  - VMUMM_2013_1_a5
ER  - 
%0 Journal Article
%A A. A. Kuznetsova
%T Inverse coding theorem for infinite-dimensional quantum channels
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2013
%P 32-37
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a5/
%G ru
%F VMUMM_2013_1_a5
A. A. Kuznetsova. Inverse coding theorem for infinite-dimensional quantum channels. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 32-37. http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a5/

[1] Barnum H., Nielsen M., Schumacher B., “Information transmission through a noisy quantum channel”, Phys. Rev. A., 57 (1998), 4153–4175 | DOI

[2] Barnum H., Knill E., Nielsen M., “On quantum fidelities and channel capacities”, IEEE Trans. Inform. Theory, 46 (1998), 1317–1329 | DOI | MR

[3] Devetak I., “The private classical capacity and quantum capacity of a quantum channel”, IEEE Trans. Inform. Theory, 51:1 (2005), 44–55, arXiv: quant-ph/0304127 | DOI | MR

[4] Kholevo A.S., Kvantovye sistemy, kanaly, informatsiya, MTsNMO, M., 2010

[5] Kholevo A.S., Shirokov M.E., “Vzaimnaya i kogerentnaya informatsiya dlya beskonechnomernykh kvantovykh kanalov”, Problemy peredachi informatsii, 46:3 (2010), 3–21 | MR

[6] Lindblad G., “Expectations and entropy inequalities for finite quantum systems”, Communs Math. Phys., 39 (1974), 111–119 | DOI | MR