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In quantum mechanics, measurements of a quantum state in various directions yield distinct outcomes, a principle that forms the foundation of quantum communication theory. This paper expands upon this concept by introducing a method to modify generator projection directions (MGPD) within quantum stabilizer codes. Employing the Steane code ($(7,1,3)$ code), as a fundamental carrier, we develop a novel scheme for direct quantum steganography across a single-type Pauli channel. The infeasibility of eavesdropping decoding under MGPD is proven. We detail the steganographic encoding and decoding schemes, corresponding quantum circuits, and eavesdropping detection principles. We also use a 'Sudoku'-style strategy to balance steganographic error probabilities and provide the complete steganography protocol. Relative to existing studies, the MGPD method achieves embedding rates approaching and attaining the upper limit of the information capacity for the $(n,k,d)=(7,1,3)$ code within a noise probability range of approximately $1/(n+1)=12.5\%$. It also reduces the consumption of auxiliary keys from $O(\log{(N)})$ to $O(1)$, while enabling eavesdropping detection and steganography of arbitrar

Author

Hao, Chaolong; Ma, Quangong; Qu, Dan; Shi, Dawei

Published

2025

Language

EN