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Science China Physics Mechanics and Astronomy

High-capacity quantum secure direct communication with two-photon six-qubit hyperentangled states

Fang-Zhou Wu, Guojian Yang, Haibo Wang, Jun Xiong, Faris Saeed Alzahrani, Aatef D. Hobiny, Fu‐Guo Deng

Published Oct 27, 2017• 107 citations
Publisher
DOI
10.1007/s11433-017-9100-9

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ABSTRACT Quantum secure direct communication (QSDC) encodes and transmits information by directly using quantum states as carriers, without the need to establish a private key session in advance. This paper introduces a QSDC protocol that utilizes variable‐length encoding with hyperentangled states. It employs two‐photon six‐qubit hyperentangled states as carriers in information transmission and incorporates variable‐length encoding to enhance secrecy capacity. Specifically, each photon pair can carry at least 2 bits and, at most, 12 bits of information. The proposed protocol's security is examined from two aspects: eavesdropping detection probability and Wyner's wiretap channel theory. The analysis results indicate that the eavesdropping detection probability of this protocol has increased from 0.5 to 0.875 compared with the two‐step protocol when Eve attempts to steal the same information. Furthermore, in the same channel environment, the security threshold of this protocol is approximately 1.6 times that of the two‐step protocol, and its maximum secrecy capacity is 7.97, compared to existing Bell‐state protocols. Thus, the proposed protocol has higher tolerance to error rates under collective attacks and greater robustness to channel losses, enabling stable long‐distance transmission of secret messages.
We present a quantum hyperdense coding protocol with hyperentanglement in polarization and spatial-mode degrees of freedom of photons first and then give the details for a quantum secure direct communication (QSDC) protocol based on this quantum hyperdense coding protocol. This QSDC protocol has the advantage of having a higher capacity than the quantum communication protocols with a qubit system. Compared with the QSDC protocol based on superdense coding with d-dimensional systems, this QSDC protocol is more feasible as the preparation of a high-dimension quantum system is more difficult than that of a two-level quantum system at present.