Quantum signal+noise models: beyond i.i.d
Quantum Physics
2018-12-12 v3
Abstract
Recently, the Gaussian optimizer conjecture in quantum information theory was confirmed for bosonic Gaussian gauge-covariant or contravariant channels. These results use the i.i.d. model of the quantum noise. In this paper we consider quantum Gaussian signal+noise model with time-continuous stationary coloured noise. A proof of the coding theorem for the classical capacity of quantum broadband gauge-covariant Gaussian channels is given. We also discuss and compare the "broadband" and the "bandpass" models of time-continuous time-continuous stationary coloured noise.
Cite
@article{arxiv.1607.06905,
title = {Quantum signal+noise models: beyond i.i.d},
author = {A. S. Holevo},
journal= {arXiv preprint arXiv:1607.06905},
year = {2018}
}
Comments
26 pages, no figures. Minor improvements and references added