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Laser Physics Letters

Measurement-device-independent quantum secure multiparty summation based on entanglement swapping

Xiaofeng Sun, Ling Fan, Cong Cao, Wensheng Yu

Published Oct 30, 2023• 2 citations
Publisher

Abstract

Abstract In this paper, we propose a measurement-device-independent (MDI) quantum secure multiparty summation protocol based on entanglement swapping. The protocol is capable of providing a secure modulo-2 summation method for n parties. Our protocol uses Bell states as the information vehicle and establishes encryption through entanglement swapping, and each party encodes the information orderly to complete the summation process through the simple single-qubit operation. In contrast to previous protocols, there is no pre-shared private key sequence and key storage process in our protocol, which helps to reduce the possibility of information leakage in transmission. Our protocol supports multiple summations by n participants, which improves quantum resource utilization. The protocol can be implemented with linear-optical devices. Furthermore, it can resist multiple attack modes including the intercept-resend attack, entangle-and-measure attack, dishonest third-party attack, and parties’ attack. Most significantly, the protocol enables to eliminate all side-channel attacks against detectors based on the MDI principle. Therefore, the protocol has advantages of high security, high efficiency, and good feasibility.

DOI
10.1088/1612-202x/ad053f

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A new multiparty measurement-device-independent quantum secret sharing (MDI-QSS) protocol is proposed based on entanglement swapping. All the measurement tasks are delegated to an untrusted party, eliminating all detector-side-channel loopholes. Only Einstein–Podolsky–Rosen (EPR) pairs, single photons and Bell-state measurements are required irrespective of the number of participants. Compared with existing MDI-QSS protocols, no additional unitary operations or Greenberger–Horne–Zeilinger (GHZ)-state measurements are needed. Our protocol is feasible experimentally and holds inspiring potential for the application in practical multiparty quantum communication networks.
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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.