Classical Signal Model for Quantum Channels

TL;DR

This paper explores how quantum channels can be modeled as classical Gaussian signal transformations, building on a classical signal model that reproduces key features of quantum mechanics, with implications for quantum information theory.

Contribution

It demonstrates that quantum channels can be represented as classical linear transformations of Gaussian signals, extending the classical signal model to quantum information processes.

Findings

Quantum channels can be modeled as classical Gaussian transformations.

Classical signal models can reproduce quantum correlations.

Implications for quantum information processing and communication.

Abstract

Recently it was shown that the main distinguishing features of quantum mechanics (QM) can be reproduced by a model based on classical random fields, so called prequantum classical statistical field theory (PCSFT). This model provides a possibility to represent averages of quantum observables, including correlations of observables on subsystems of a composite system (e.g., entangled systems), as averages with respect to fluctuations of classical (Gaussian) random fields. In this note we consider some consequences of PCSFT for quantum information theory. They are based on the observation \cite{W} of two authors of this paper that classical Gaussian channels (important in classical signal theory) can be represented as quantum channels. Now we show that quantum channels can be represented as classical linear transformations of classical Gaussian signal