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arXiv:2512.14984

High efficiency controlled quantum secure direct communication with 4D qudits and Grover search algorithm

Ni-Shi Lu, Ping Zhou

quant-phSubmitted Dec 17, 2025• Announced Dec 18, 2025• 0 citations
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Abstract

Currently, the progress of quantum secure direct communication (QSDC) is impeded by a fundamental trade off among control efficiency, security, and scalability. This study proposes an innovative controlled QSDC protocol based on a collaborative unitary sequence decoding paradigm to break this deadlock.Leveraging four dimensional single particle states, the protocol's core innovation lies in its three party decoding mechanism. The controller's authorization unlocks a specific unitary operation sequence, enabling the receiver to directly decode exclusively via quantum operations, eliminating the need for classical computational algorithms in conventional protocols. This tailored sequence underpins its high efficiency.The protocol also seamlessly incorporates decoy photon authentication, creating a multi layer defense against both external and internal attacks. Consequently, it achieves a remarkable qudit efficiency of 66.7%, offering a significant performance improvement over existing schemes and an efficient, highly secure solution for future quantum networks.

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Currently, the progress of quantum secure direct communication (QSDC) is impeded by a fundamental trade off among control efficiency, security, and scalability. This study proposes an innovative controlled QSDC protocol based on a collaborative unitary sequence decoding paradigm to break this deadlock.Leveraging four dimensional single particle states, the protocol's core innovation lies in its three party decoding mechanism. The controller's authorization unlocks a specific unitary operation sequence, enabling the receiver to directly decode exclusively via quantum operations, eliminating the need for classical computational algorithms in conventional protocols. This tailored sequence underpins its high efficiency.The protocol also seamlessly incorporates decoy photon authentication, creating a multi layer defense against both external and internal attacks. Consequently, it achieves a remarkable qudit efficiency of 66.7%, offering a significant performance improvement over existing schemes and an efficient, highly secure solution for future quantum networks.
In this paper, a three-party controlled quantum secure direct communication and authentication (QSDCA) protocol is proposed by using four particle cluster states via a quantum one-time pad and local unitary operations. In the present scheme, only under the permission of the controller, the sender and the receiver can implement secure direct communication successfully. But under any circumstances, Charlie cannot obtain the secret message. Eavesdropping detection and identity authentication are achieved with the help of the previously shared reusable base identity strings of users. This protocol is unconditionally secure in both ideal and practical noisy cases. In one transmission, a qubit of each four particle cluster state is used as controller’s permission and the same qubit with another qubit are used to recover two classical bits of information. In the proposed scheme, the efficiency is improved compared with the previous works.
Quantum Secure Direct Communication (QSDC) is a promising approach for secure information exchange. This paper proposes an efficient and secure four-party QSDC scheme utilizing hyperentangled Bell states in the polarization degree of freedom, the first longitudinal momentum degree of freedom and the second longitudinal momentum degree of freedom. The four participants can perform different unitary operations to independently encode their secret messages onto photons in three degrees of freedom, subsequently transmitting them directly through the quantum channel. In this proposed protocol, each degree of freedom of the photon can effectively carry two bits of information. Each round of transmission by a photon enables the four legitimate participants to obtain six classical bits of information. Notably, when compared to other photons based single-degree-of-freedom QSDC network protocols, the capacity of proposed QSDC protocol is tripled. Therefore, it significantly enhances the information transmission capability. Furthermore, comprehensive security analysis shows that our QSDC network protocol can withstand various attacks from external eavesdroppers.
Although it is typically assumed that both communicating parties in quantum secure direct communication(QSDC) are trustworthy, it is essential to consider the authentication issue. An effective QSDC strategy based on identification authentication is proposed to address the issues of identity legitimacy and communication efficiency in QSDC. The proposed method authenticates and transmits messages using only four single-photon polarization states, detects eavesdropping, and authenticates the receiver's identification with a shared identity key, enabling secure message delivery while validating the receiver's identity. The approach is simple and efficient as it requires no sophisticated entanglement resources. A single-photon sequence transmitted at a time can encode the same number of message blocks of length N, i.e., every single photon contains N times its information and distinguishes them using markings. Moreover, it can be shown that the proposed QSDC with identity authentication is more resistant to typical attacks, thus more appropriate for practical implementations.
Quantum secure direct communication (QSDC) enables the direct and secure transmission of messages without the need for prior key distribution, offering a groundbreaking paradigm in quantum communication. This paper presents a novel symmetric QSDC protocol that ensures immunity to collective-phase and collective-rotation noises while enabling efficient and two-way message transfer. The proposed protocol features an innovative approach where qubits are transmitted only during the initial entanglement sharing phase, eliminating the need to send message carrying qubits thereafter. By leveraging this design, the protocol minimizes vulnerability to external noise and eavesdropping attempts. The symmetry of the protocol allows both parties to exchange messages seamlessly and securely, ensuring equal communication procedure. Analytical analysis and theoretical proofs demonstrate the robustness and security of the protocol under non-secure quantum channel, marking a significant advancement in practical quantum communication systems. The proposed scheme follows an entanglement-based QSDC paradigm, where confidential information is embedded into quantum correlations rather than being directly transmitted over the quantum channel.
A controlled quantum secure direct communication protocol based on four-qubit cluster states and quantum search algorithm is put forward, in which four users, a sender, a receiver and two controllers, are involved in achieving the secure transmission of secret message. The four-qubit cluster state can ensure the feasibility and security of the protocol because of its large persistency of entanglement. Meanwhile, the idea of quantum search algorithm is used to accomplish the task of encoding and decoding secret message. The proposed protocol can successfully avoid the information leakage problem and resist some common attacks including the outsider attacks and the internal attacks, and its qubit efficiency is up to 20%. Furthermore, compared with the previous quantum secure direct communication protocols, it can effectively resist the attacks from the dishonest receiver.
The controlled quantum secure direct communication (CQSDC) with authentication protocol based on four particle cluster states via quantum one-time pad and local unitary operations is cryptanalyzed. It is found that there are some serious security issues in this protocol. An eavesdropper (Eve) can eavesdrop on some information of the identity strings of the receiver and the controller without being detected by the selective-CNOT-operation (SCNO) attack. By the same attack, Eve can also steal some information of the secret message that the sender transmits. In addition, the receiver can take the same kind of attack to eavesdrop on some information of the secret message out of the control of the controller. This means that the requirements of CQSDC are not satisfied. At last, we improve the original CQSDC protocol to a secure one.