title: Calculation of mutual information for nonlinear communication channel at large signal-to-noise ratio.
abstract: Using the path-integral technique we examine the mutual information for the communication channel modeled by the nonlinear Schrödinger equation with additive Gaussian noise. The nonlinear Schrödinger equation is one of the fundamental models in nonlinear physics, and it has a broad range of applications, including fiber optical communications-the backbone of the internet. At large signal-to-noise ratio we present the mutual information through the path-integral, which is convenient for the perturbative expansion in nonlinearity. In the limit of small noise and small nonlinearity we derive analytically the first nonzero nonlinear correction to the mutual information for the channel.
authors.affiliation: Budker Institute of Nuclear Physics of Siberian Branch Russian Academy of Sciences, Novosibirsk, 630090 Russia.|Novosibirsk State University, Novosibirsk, 630090 Russia.
authors.forename: I S
authors.initials: IS
authors.lastname: Terekhov
authors.affiliation: Budker Institute of Nuclear Physics of Siberian Branch Russian Academy of Sciences, Novosibirsk, 630090 Russia.|Novosibirsk State University, Novosibirsk, 630090 Russia.
authors.forename: A V
authors.initials: AV
authors.lastname: Reznichenko
authors.affiliation: Novosibirsk State University, Novosibirsk, 630090 Russia.|Aston Institute of Photonics Technologies, Aston University, Aston Triangle, Birmingham, B4 7ET, United Kingdom.
authors.forename: S K
authors.initials: SK
authors.lastname: Turitsyn