# Simulation of non-Pauli Channels

## TL;DR

This paper explores how introducing noise into the classical communication in quantum teleportation enables the simulation of non-Pauli channels, expanding the capabilities beyond standard teleportation limitations.

## Contribution

It demonstrates a minimal perturbation to teleportation that allows simulation of non-Pauli channels and characterizes channels generated from amplitude damping resource states.

## Key findings

- Necessary condition for simulating non-Pauli channels established
- Characterization of channels from amplitude damping resource states
- Bounds on quantum and private capacities for certain channels

## Abstract

We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however limited to the simulation of Pauli channels. Here we show how we can easily enlarge this class by means of a minimal perturbation of the teleportation protocol, where we introduce noise in the classical communication channel between the remote parties. By adopting this noisy protocol, we provide a necessary condition for simulating a non-Pauli channel. In particular, we characterize the set of channels that are generated assuming the Choi matrix of an amplitude damping channel as a resource state. Within this set, we identify a class of Pauli-damping channels for which we bound the two-way quantum and private capacities.