Single-Shot Secure Quantum Network Coding for General Multiple Unicast Network with Free Public Communication

Abstract

Based on a secure classical network code, we propose a general method for constructing a secure quantum network code in the multiple unicast setting under restricted eavesdropper’s power. This protocol certainly transmits quantum states when there is no attack. We also show the secrecy with shared randomness as additional resource from the secrecy and the recoverability of the corresponding secure classical network code. Our protocol does not require verification process, which ensures single-shot security.