# Optimized communication strategies with binary coherent states over phase noise channels

## TL;DR

This paper introduces optimized communication strategies using generalized coherent state constellations and non-Gaussian measurements to improve information transfer over phase-noise optical channels, surpassing conventional methods.

## Contribution

It proposes and experimentally demonstrates a joint optimization approach for input states and measurements to enhance communication over Bosonic phase-noise channels.

## Key findings

- Enhanced mutual information compared to standard modulation schemes
- Successful experimental implementation of optimized strategies
- Improved error rates over phase-noise channels

## Abstract

The achievable rate of information transfer in optical communications is determined by the physical properties of the communication channel, such as the intrinsic channel noise. Bosonic phase-noise channels, a class of non-Gaussian channels, have emerged as a relevant noise model in quantum information and optical communication. However, while the fundamental limits for communication over Gaussian channels have been extensively studied, the properties of communication over Bosonic phase-noise channels are not well understood. Here we propose and demonstrate experimentally the concept of optimized communication strategies for communication over phase-noise channels to enhance information transfer beyond what is possible with conventional methods of modulation and detection. Two key ingredients are generalized constellations of coherent states that interpolate between standard on-off keying and binary phase shift keying formats, and non-Gaussian measurements based on photon number resolving detection of the coherently displaced signal. For a given power constraint and channel noise strength, these novel strategies rely on joint optimization of the input alphabet and the measurement to provide enhanced communication capability over a non-Gaussian channel characterized in terms of the error rate as well as mutual information.