Have a personal or library account? Click to login
Twin-Field Quantum Network Coding for Multi-Party Key Distribution Cover

Twin-Field Quantum Network Coding for Multi-Party Key Distribution

By: Yuchen Liu,  Tao Shang and  Keyu Xiong  
Open Access
|Dec 2025

Figures & Tables

Figure 1.

The basic structure of TF-QKD.

Figure 2.

Butterfly network model for twin-field transmission.

Figure 3.

Quantum operations at each node in the butterfly network.

Figure 4.

Classical transmission after the coherent measurements.

Figure 5.

Comparison of point-to-point key rates.

Figure 6.

Comparison of multi-party key rates.

Comparison with other QNC schemes_

QNC schemeQuantum resourcesPossibility to be used in QKDRelationship between key rate and transmittance
XQQ [2]Non-orthogonal quantum statesNo-
QNC based on PE scheme [3,6,12]Pre-shared entanglementsPossibleRη
QNC with repeaters [11]Quantum repeatersPossibleRη1/n
QNC based on MBQC [5,9]Cluster statesNo-
Our schemeWeak coherent statesYesRη1/2

Comparison of channel usage between TF-QNC and TF-QKD_

SchemeNon-bottleneck channelsBottleneck channelAverage total times
Point-to-Point TF-QKD2 channels × 226n1
Point-to-Point TF-QNC12 channels × 2152n15\sqrt 2 {n_1}
Multi-Party TF-QKD24 channels × 6428n2
Multi-Party TF-QNC4 channels × 219γn2

Comparison of quantum states usage between TF-QNC and TF-QKD_

SchemeQuantum states in one executionAverage total number
Point-to-Point TF-QKD2 nodes × 12n1
Point-to-Point TF-QNC2 nodes × 122n12\sqrt 2 {n_1}
Multi-Party TF-QKD4 nodes ×312n2
Multi-Party TF-QNC4 nodes × 14γn2
DOI: https://doi.org/10.2478/qic-2025-0027 | Journal eISSN: 3106-0544 | Journal ISSN: 1533-7146
Language: English
Page range: 488 - 508
Submitted on: Jul 4, 2025
|
Accepted on: Sep 29, 2025
|
Published on: Dec 31, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2025 Yuchen Liu, Tao Shang, Keyu Xiong, published by Cerebration Science Publishing Co., Limited
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.