Computer Science – Information Theory
Scientific paper
2012-02-02
Computer Science
Information Theory
5 pages, submission to the 2012 International Symposium on Information Theory (ISIT 2012), Boston, MA, USA
Scientific paper
In the low-energy high-energy-efficiency regime of classical optical communications---relevant to deep-space channels for instance---there is a big gap between the reliable communication rates achievable via conventional optical receivers and the ultimate (Holevo) capacity. Achieving the Holevo capacity would require not only optimal codes but also receivers that make collective measurements on long (modulated) codeword waveforms, and it is not possible to implement these collective measurements via symbol-by-symbol detection along with postprocessing in the electronics/software domain. In this paper, we apply our recent results on the classical-quantum polar code---the first near-explicit, linear, symmetric-Holevo-rate achieving code---to the lossy optical channel, and we show that it almost closes the entire gap to the Holevo capacity in the low photon number regime. An optical realization of the successive-cancellation joint-detection receiver remains an open question.
Guha Saikat
Wilde Mark M.
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