Private-Capacity Bounds for Bosonic Wiretap Channels
Quantum Physics
2012-02-07 v1
Abstract
We prove an upper bound on the private capacity of the single-mode noiseless bosonic wiretap channel. Combined with a previous lower bound, we obtain the low photon-number asymptotic expression for the private capacity. We then show that the multiple-mode noiseless bosonic wiretap channel is equivalent to parallel single-mode channels, hence the single-mode bounds can be applied. Finally, we consider multiple-spatial-mode propagation through atmospheric turbulence, and derive a private-capacity lower bound that only requires second moments of the channel matrix.
Cite
@article{arxiv.1202.1126,
title = {Private-Capacity Bounds for Bosonic Wiretap Channels},
author = {Ligong Wang and Jeffrey H. Shapiro and Nivedita Chandrasekaran and Gregory W. Wornell},
journal= {arXiv preprint arXiv:1202.1126},
year = {2012}
}
Comments
5 pages, 4 figures