Abstract: The notion of weak-degradability of quantum channels is introduced by generalizing the degradability definition given by Devetak and Shor. Exploiting the unitary equivalence with beam-splitter/amplifier channels we then prove that a large class of one-mode Bosonic Gaussian channels are either weakly degradable or anti-degradable. In the latter case this implies that their quantum capacity Q is null. In the former case instead, this allows us to establish the additivity of the coherent information for those maps which admit unitary representation with single-mode pure environment.
Degradability of Bosonic Gaussian channels / F. Caruso;V. Giovannetti. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - ELETTRONICO. - 74:(2006), pp. 062307-1-062307-6. [10.1103/PhysRevA.74.062307]
Degradability of Bosonic Gaussian channels
CARUSO, FILIPPO;
2006
Abstract
Abstract: The notion of weak-degradability of quantum channels is introduced by generalizing the degradability definition given by Devetak and Shor. Exploiting the unitary equivalence with beam-splitter/amplifier channels we then prove that a large class of one-mode Bosonic Gaussian channels are either weakly degradable or anti-degradable. In the latter case this implies that their quantum capacity Q is null. In the former case instead, this allows us to establish the additivity of the coherent information for those maps which admit unitary representation with single-mode pure environment.File | Dimensione | Formato | |
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