Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs

Details Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs

2005-11-02

arxiv.org/abs/quant-ph/0511006v3

Phys. Rev. A 73, 012330 (2006)

Physics

Quantum Physics

9 pages, no figures. Published Version

Scientific paper

10.1103/PhysRevA.73.012330

We prove multiplicativity of maximal output $p$ norm of classical noise channels and thermal noise channels of arbitrary modes for all $p>1$ under the assumption that the input signal states are Gaussian states. As a direct consequence, we also show the additivity of the minimal output entropy and that of the energy-constrained Holevo capacity for those Gaussian channels under Gaussian inputs. To the best of our knowledge, newly discovered majorization relation on symplectic eigenvalues, which is also of independent interest, plays a central role in the proof.

Affiliated with

Also associated with

No associations

Rating

Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639963