Joint Modelling of Quantum and Classical Noise over Unity Quantum Channel

TL;DR

This paper develops a hybrid noise model combining classical Gaussian and quantum Poisson noise for quantum channels, analyzing how the maximum mutual information varies with the mean signal, to estimate channel capacity.

Contribution

It introduces a joint Gaussian-Poisson noise model for quantum channels and studies capacity estimation by maximizing mutual information over the mean signal.

Findings

Derived a joint Gaussian-Poisson noise distribution.

Analyzed mutual information variation over mean signal.

Estimated channel capacity under hybrid noise conditions.

Abstract

For a continuous-input-continuous-output arbitrarily distributed quantum channel carrying classical information, the channel capacity can be computed in terms of the distribution of the channel envelope, received signal strength over a quantum propagation field and the noise spectral density. If the channel envelope is considered to be unity with unit received signal strength, the factor controlling the capacity is the noise. Quantum channel carrying classical information will suffer from the combination of classical and quantum noise. Assuming additive Gaussian-distributed classical noise and Poisson-distributed quantum noise, we formulate a hybrid noise model by deriving a joint Gaussian- Poisson distribution in this letter. For the transmitted signal, we consider the mean of signal sample space instead of considering a particular distribution and study how the maximum mutual information varies over such mean value. Capacity is estimated by maximizing the mutual information over unity channel envelope.