The entropy gain of infinite-dimensional quantum channels
Holevo, A. S.
arXiv, 1003.5765 / Harvested from arXiv
Text on arXiv
In the present paper we study the entropy gain $H(\Phi [\rho])-H(\rho)$ for infinite-dimensional channels $\Phi$. We show that unlike finite-dimensional case where the minimal entropy gain is always nonpositive \cite{al}, there is a plenty of channels with positive minimal entropy gain. We obtain the new lower bound and compute the minimal entropy gain for a broad class of Bosonic Gaussian channels by proving that the infimum is attained on the Gaussian states.
Publié le : 2010-03-30
Classification:  Mathematical Physics,  Quantum Physics,  81Qxx 
@article{1003.5765,
     author = {Holevo, A. S.},
     title = {The entropy gain of infinite-dimensional quantum channels},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1003.5765}
}

Holevo, A. S. The entropy gain of infinite-dimensional quantum channels. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1003.5765/