Photonic reservoir computer (PRC) is a kind of real-time and adaptive
recurrent neural network, where only weights in the readout layer require
training. PRC is a promising tool to deal with the crucial issue of nonlinear
equalization in optical fiber communications. Here we theoretically show a deep
PRC for the nonlinear equalization of coherent signals with the format of 16-
level quadrature amplitude modulation (16-QAM). The deep PRC consists of
cascading injection-locked Fabry-Perot lasers with optical feedback. Both the
in-phase component and the quadrature component of the 16-QAM signals are
simultaneously injected into the deep PRC in parallel, based on the wavelength
multiplexing of Fabry-Perot lasers. It is demonstrated that the deep PRC
exhibits strong capability for the nonlinearity compensation of coherent
signals. The Q factor is improved by more than 1 dB for 16-QAM signals with
launch powers above 10 dBm, associated with a bit rate of 240 Gbps and a
transmission distance of 50 km.

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