학술논문

Single-Shot Secure Quantum Network Coding for General Multiple Unicast Network With Free One-Way Public Communication
Document Type
Periodical
Source
IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 67(7):4564-4587 Jul, 2021
Subject
Communication, Networking and Broadcast Technologies
Signal Processing and Analysis
Quantum networks
Security
Network coding
Unicast
Quantum state
Encoding
Quantum entanglement
Secrecy
quantum state
network coding
multiple unicast
general network
one-way public communication
Language
ISSN
0018-9448
1557-9654
Abstract
It is natural in a quantum network system that multiple users intend to send their quantum message to their respective receivers, which is called a multiple unicast quantum network. We propose a canonical method to derive a secure quantum network code over a multiple unicast quantum network from a secure classical network code. Our code correctly transmits quantum states when there is no attack. It also guarantees the secrecy of the transmitted quantum state even with the existence of an attack when the attack satisfies a certain natural condition. In our security proof, the eavesdropper is allowed to modify wiretapped information dependently on the previously wiretapped messages. Our protocol guarantees the secrecy by utilizing one-way classical information transmission (public communication) in the same direction as the quantum network although the verification of quantum information transmission requires two-way classical communication. In the protocol, some nodes may share secret randomness as resources in advance. Our secure network code can be applied to several networks including the butterfly network.