# Secure Quantum Network Coding on Butterfly Network

## TL;DR

This paper introduces a secure quantum network coding protocol for the butterfly network that ensures quantum state transmission and maintains secrecy even under eavesdropping, advancing quantum communication security.

## Contribution

It presents the first secure quantum network coding scheme for the butterfly network in a multiple unicast setting based on classical network coding principles.

## Key findings

- Protocol transmits quantum states securely without attack.
- Secrecy is maintained even if an eavesdropper wiretaps one channel.
- Demonstrates feasibility of secure quantum network coding in butterfly networks.

## Abstract

Quantum network coding on the butterfly network has been studied as a typical example of quantum multiple cast network. We propose secure quantum network coding on the butterfly network in the multiple unicast setting based on a secure classical network coding. This protocol certainly transmits quantum states when there is no attack. We also show the secrecy even when the eavesdropper wiretaps one of the channels in the butterfly network.