It takes half the energy of a photon to send one bit reliably on the Poisson channel with feedback

Details It takes half the energy of a photon to send one bit reliably on the Poisson channel with feedback It takes half the energy of a photon to send one bit reliably on the Poisson channel with feedback

2010-10-26

arxiv.org/abs/1010.5382v1

Computer Science

Information Theory

A slightly extended version of a paper that appeared in the Proceedings of the Sixth Joint Workshop on Coding and Communicatio

Scientific paper

We consider the transmission of a single bit over the continuous-time Poisson
channel with noiseless feedback. We show that to send the bit reliably
requires, on the average, half the energy of a photon. In the absence of
peak-power constraints this holds irrespective of the intensity of the dark
current. We also solve for the energy required to send $log_{2} M$ bits.

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