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Physica Scripta

Measurement-device-independent semi-quantum dialogue protocol based on hyper-entangled Bell states

Yaochong Li, Xin Zhou, RuiQing Xu, Lin-Tao Du

Published Feb 19, 2026• 0 citations
Publisher

Abstract

Abstract To address the dual challenges of scarce quantum resources and measurement device vulnerabilities in practical quantum dialogue (QD) protocols, this paper proposes a measurement-device-independent semi-quantum dialogue (MDI-SQD) protocol based on hyperentangled Bell states. Employing a dual-degree-of-freedom encoding strategy, the protocol enables both parties to simultaneously encode secret messages and authentication information across their respective degrees of freedom, achieving identity verification and message transmission in a single round. To counter side-channel attacks, the protocol further incorporates a MDI framework, delegating critical measurement steps to untrusted third parties to effectively safeguard protocol security. Theoretical analysis demonstrates robust resistance to attacks. Performance evaluations reveal communication efficiency reaching 75%, significantly outperforming existing semi-quantum dialogue protocols.

DOI
10.1088/1402-4896/ae483b

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Abstract To address the dual challenges of scarce quantum resources and measurement device vulnerabilities in practical quantum dialogue (QD) protocols, this paper proposes a measurement-device-independent semi-quantum dialogue (MDI-SQD) protocol based on hyperentangled Bell states. Employing a dual-degree-of-freedom encoding strategy, the protocol enables both parties to simultaneously encode secret messages and authentication information across their respective degrees of freedom, achieving identity verification and message transmission in a single round. To counter side-channel attacks, the protocol further incorporates a MDI framework, delegating critical measurement steps to untrusted third parties to effectively safeguard protocol security. Theoretical analysis demonstrates robust resistance to attacks. Performance evaluations reveal communication efficiency reaching 75%, significantly outperforming existing semi-quantum dialogue protocols.
Abstract Quantum dialogue (QD) realizes the real-time secure bidirectional quantum communication. Measurement-device-independent (MDI) QD can resist all possible attacks focusing on the imperfect measurement devices and enhance QD’s practical security. However, in practical applications, any secure communication requires identity authentication as a prerequisite. In this paper, we propose an MDI QD protocol with bidirectional identity authentication. The practical communication parties can first authenticate the identity of each other simultaneously before the message exchange. In theory, our MDI QD protocol has unconditional security and the communication parties can exchange 1.5 bits of messages in each communication round with linear optical Bell state measurement. We numerically simulate the secrecy message capacity of our MDI QD protocol. Our protocol has two advantages. First, it can effectively resist the impersonation attack and enhance MDI QD’s practical security. Second, it does not require keys to assist the message exchange and has relatively high efficiency. Our protocol has application potential in the future quantum communication field.
Very recently, the experimental demonstration of Quantum Secure Direct Communication (QSDC) with state-of-the-art atomic quantum memory has been reported (Phys. Rev. Lett., 2017). Quantum Dialogue (QD) falls under QSDC where the secrete messages are communicated simultaneously between two legitimate parties. The successful experimental demonstration of QSDC opens up the possibilities for practical implementation of QD protocols. Thus, it is necessary to analyze the practical security issues of QD protocols for future implementation. Since the very first proposal for QD by Nguyen (Phys. Lett. A, 2004) a large number of variants and extensions have been presented till date. However, all of those leak half of the secret bits to the adversary through classical communications of the measurement results. In this direction, motivated by the idea of Lo et al. (Phys. Rev. Lett., 2012), we propose a Measurement Device Independent Quantum Dialogue (MDI-QD) scheme which is resistant to such information leakage as well as side channel attacks. In the proposed protocol, Alice and Bob, two legitimate parties, are allowed to prepare the states only. The states are measured by an untrusted third party (UTP) who may himself behave as an adversary. We show that our protocol is secure under this adversarial model. The current protocol does not require any quantum memory and thus it is inherently robust against memory attacks. Such robustness might not be guaranteed in the QSDC protocol with quantum memory (Phys. Rev. Lett., 2017).
Abstract Quantum secure direct communication (QSDC) enables the direct transmission of secret messages without prior sharing of keys among the communicating parties. However, in practical situations, an eavesdropper can compromise the measurement device and potentially steal secret messages. To enhance the reliability of QSDC systems, measurement-device-independent (MDI) QSDC protocols have been developed. In this paper, we propose a high-capacity MDI-QSDC protocol with authentication by utilizing hyperentangled Bell states. The protocol allows the sender to transmit six classical bit messages to the receiver using one quantum state. Our protocol has a higher coding capacity compared to other MDI-QSDC protocols. Additionally, we achieve mutual authentication of the identities of the communicating parties, and our scheme has significant advantages over the traditional QSDC protocols, where the legitimacy of the communicating parties has to be assumed. Theoretical analysis proves that our protocol can effectively defend against common attacks.
Abstract Quantum secure direct communication (QSDC) enables the direct transmission of secret messages without prior sharing of keys among the communicating parties. However, in practical situations, an eavesdropper can compromise the measurement device and potentially steal secret messages. To enhance the reliability of QSDC systems, measurement-device-independent (MDI) QSDC protocols have been developed. In this paper, we propose a high-capacity MDI-QSDC protocol with authentication by utilizing hyperentangled Bell states. The protocol allows the sender to transmit six classical bit messages to the receiver using one quantum state. Our protocol has a higher coding capacity compared to other MDI-QSDC protocols. Additionally, we achieve mutual authentication of the identities of the communicating parties, and our scheme has significant advantages over the traditional QSDC protocols, where the legitimacy of the communicating parties has to be assumed. Theoretical analysis proves that our protocol can effectively defend against common attacks.
Quantum secret sharing (QSS) is a cornerstone of multi-party quantum information security. However, traditional QSS protocols are vulnerable to detector side-channel attacks. Measurement-device-independent QSS (MDI-QSS) elegantly resolves this by outsourcing measurements to an untrusted third party. Building upon this, we propose a measurement-deviceindependent dynamic quantum secret sharing (MDI-DQSS) scheme based on hyperentanglement. Our protocol leverages simultaneous entanglement in both polarization and spatial degrees of freedom, which enhances the channel capacity and improves the key generation rate. The scheme is designed for practical implementation, relying on single-photon states that are feasible to prepare and manipulate. We present the complete protocol, from state preparation and distribution to cooperative decoding, and provide a comprehensive security analysis demonstrating its robustness.
To solve the fundamental problem of excessive consumption of classical resources and the simultaneous security vulnerabilities in semi-quantum dialogue systems, a multi-party controlled semi-quantum dialogue protocol based on hyperentangled Bell states is proposed. A single controlling party is vulnerable to information compromise due to tampering or betrayal; the multi-party controlled mechanism (Charlie1 to Charlien) in this protocol establishes a distributed trust model. It mandates collective authorization from all controlling parties, significantly enhancing its robust resilience against untrustworthy controllers or collusion attacks. The classical participant Bob uses an adaptive Huffman compression algorithm to provide a framework for information transmission. This encoding mechanism assigns values to each character by constructing a Huffman tree, generating optimal prefix codes that significantly optimize the storage space complexity for the classical participant. By integrating the “immediate measurement and transmission” mechanism into the multi-party controlled semi-quantum dialogue protocol and coupling it with Huffman compression coding technology, this framework enables classical parties to execute encoding and decoding operations. The security of this protocol is rigorously proven through information-theoretic analysis and shows that it is resistant to common attacks. Furthermore, even in the presence of malicious controlling parties, this protocol robustly safeguards secret information against theft. The efficiency analysis shows that the proposed protocol provides benefits such as high communication efficiency and lower resource consumption for classical participants.