Classical simulations of communication channels

TL;DR

This paper explores the simulation of non-classical and quantum communication channels using classical channels with noise, demonstrating that noisy quantum channels can be replicated classically with equivalent noise levels.

Contribution

It proves that any noisy quantum channel can be simulated by a classical channel with the same noise, extending the understanding of classical-quantum channel relationships.

Findings

Noisy quantum channels can be simulated classically with equivalent noise levels

Classical simulations of general probabilistic channels are feasible

Theoretical framework for channel simulation established

Abstract

We investigate whether certain non-classical communication channels can be simulated by a classical channel with a given number of states and a given `amount' of noise. It is proved that any noisy quantum channel can be simulated by a corresponding classical channel with `the same amount' of noise. Classical simulations of general probabilistic channels are also studied.