Coherent information of one-mode Gaussian channels—the general case of non-zero added classical noise

DOI10.1088/1751-8113/48/12/125301zbMATH Open1318.60040arXiv1406.6110OpenAlexW2949422525MaRDI QIDQ5245652

Kamil Brádler

Publication date: 14 April 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We prove that whenever the coherent information of a one-mode Gaussian channel is non-zero its supremum is achieved for the infinite input power. This is a well established fact for the zero added classical noise, whereas the nonzero case has not been studied in detail. The presented analysis fills the gap for three canonical classes of one-mode Gaussian channels: the lossy, amplifying and additive classical noise channel class. For the remaining one-mode Gaussian channel classes the coherent information is known to vanish.

Full work available at URL: https://arxiv.org/abs/1406.6110

zbMATH Keywords

coherent informationnon-zero added classical noiseone-mode Gaussian channels

Mathematics Subject Classification ID

Gaussian processes (60G15) Coherent states (81R30) Communication theory (94A05)

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