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Frontiers in Physics

Controlled Quantum Secure Direct Communication Based on Four-Qubit Cluster States and Quantum Search Algorithm

You-Feng Yang, Longzhen Duan, Taorong Qiu, Xu-Ming Xie

Published May 25, 2022• 3 citations
Publisher

Abstract

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.

DOI
10.3389/fphy.2022.875441

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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.
A new controlled quantum secure direct communication (CQSDC) protocol is presented by using a four-particle cluster state as quantum channel and the physical characteristics of controlled quantum teleportation to implement the transmission and the control. In this scheme, the receiver can receive the secret message from the sender and recover the secret message under the permission of the controller. According to the security analysis, the communication is secure against both participant and outside attacks, so this CQSDC protocol is secure and feasible.
To transmit secure message, a controlled quantum secure direct communication protocol is proposed based on five-particle cluster state and EPR pair entanglement swapping. The sender and the controller own their EPR pair sequences respectively. The sender sends one photon of the EPR pair he owns to controller. The controller performs local unitary operation randomly on one photon of the EPR pair he owns and sends it to the receiver as his permission. The sender encodes his secret message on the other photon of the EPR pair he owns and sends it to the receiver. Because of EPR pair entanglement swapping, the two photons in the receiver's hand entangled. Under the permission of the controller, the controller and the receiver measure their new EPR pairs in the Bell basis in turn. By comparing the measurement result of the receiver and the original state, the receiver can get the secret message. To ensure the security of the message transmitting, five photons of five-particle cluster state are all mixed in sending sequence to detect eavesdropping which can bring per qubit 88% eavesdropping detection probability. Compared with taking three photons of five-particle cluster state as detection photons, five photons in this paper will decrease the number of five-particle cluster state for detection greatly. The security of the present protocol is discussed: the detection probability of this protocol is more than 88%, and intercept-measure-resend attacks and correlation-elicitation (CE) attack can be defended effectively.
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.
In a recent letter, a controlled bidirectional quantum secure direct communication protocol with cluster states was proposed. We analyzed the security of this protocol and found that it is insecure. In the original protocol, a dishonest controller can eavesdrop the secret messages exchanged between the users, and a dishonest user may achieve his communication goal without the permission of the controller. The corresponding two kinds of attack strategies are presented. Finally, we give a feasible improvement of this communication protocol.
In this paper, we first re-examine the previous protocol of controlled quantum secure direct communication of Zhang et al.’s scheme, which was found insecure under two kinds of attacks, fake entangled particles attack and disentanglement attack. Then, by changing the party of the preparation of cluster states and using unitary operations, we present an improved protocol which can avoid these two kinds of attacks. Moreover, the protocol is proposed using the three-qubit partially entangled set of states. It is more efficient by only using three particles rather than four or even more to transmit one bit secret information. Given our using state is much easier to prepare for multiqubit states and our protocol needs less measurement resource, it makes this protocol more convenient from an applied point of view.