Degradability of Bosonic Gaussian channels

Details Degradability of Bosonic Gaussian channels Degradability of Bosonic Gaussian channels

2006-03-28

arxiv.org/abs/quant-ph/0603257v4

Physical Review A 74, 062307 (2006)

Physics

Quantum Physics

7 pages, 1 figure, 1 table (minor editing)

Scientific paper

10.1103/PhysRevA.74.062307

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.

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