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Open AccessArticle

Multi-Party Quantum Summation Based on Quantum Teleportation

College of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642, China
School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, UK
School of Artificial Intelligence, Shenzhen Polytechnic, Shenzhen 518055, China
Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen 513055, China
Authors to whom correspondence should be addressed.
Entropy 2019, 21(7), 719;
Received: 27 May 2019 / Revised: 6 July 2019 / Accepted: 9 July 2019 / Published: 23 July 2019
(This article belongs to the Collection Quantum Information)
PDF [1312 KB, uploaded 24 July 2019]


We present a secure multi-party quantum summation protocol based on quantum teleportation, in which a malicious, but non-collusive, third party (TP) helps compute the summation. In our protocol, TP is in charge of entanglement distribution and Bell states are shared between participants. Users encode the qubits in their hand according to their private bits and perform Bell-state measurements. After obtaining participants’ measurement results, TP can figure out the summation. The participants do not need to send their encoded states to others, and the protocol is therefore congenitally free from Trojan horse attacks. In addition, our protocol can be made secure against loss errors, because the entanglement distribution occurs only once at the beginning of our protocol. We show that our protocol is secure against attacks by the participants as well as the outsiders. View Full-Text
Keywords: quantum information; quantum cryptography; quantum summation; quantum teleportation; Bell states; participant attacks quantum information; quantum cryptography; quantum summation; quantum teleportation; Bell states; participant attacks

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Zhang, C.; Razavi, M.; Sun, Z.; Huang, Q.; Situ, H. Multi-Party Quantum Summation Based on Quantum Teleportation. Entropy 2019, 21, 719.

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