面向物理层安全计算成像的非厄米双正交编码范式
A Non-Hermitian Biorthogonal Encoding Paradigm for Physical-Layer Secure Computational Imaging
浏览论文内容
中文总结 AI 辅助
本研究提出非厄米双正交编码的安全计算成像框架，通过非对称传感架构实现物理层安全，可在宽采样率下直接检索图像，在单像素平台验证其能将图像检索转为参数敏感的物理解密过程。
中文摘要 AI 辅助
传统计算成像范式基于厄米系统，受限于刚性正交基变换，在重建保真度、计算负载与物理层安全的平衡上存在根本瓶颈。本研究提出一种基于非厄米双正交对称破缺的通用安全计算成像框架，通过将空间信息映射到双正交算子空间，构建由左基矢⟨φₘ|和右基矢|ψₙ⟩模式（满足双正交关系⟨φₘ|ψₙ⟩=δₘₙ）支配的非对称传感架构。在该架构中，非厄米参数γ的精确调谐构成物理层密码门，仅当对偶基匹配时才可实现高保真图像检索；任何参数失配都会触发确定性模态间串扰，有效阻止未授权访问。值得注意的是，该架构固有支持宽采样率范围内的直接、无需迭代的图像检索，相比传统迭代重建显著降低计算开销。我们在单像素成像平台上验证了该框架，证明其实现了根本性范式转变：通过将安全性直接嵌入测量物理过程，将图像检索从依赖软件的任务转变为参数敏感的物理解密过程，确保架构固有的保密性。
英文摘要
The conventional paradigm of computational imaging, rooted in Hermitian systems, is fundamentally constrained by rigid orthogonal basis transformations, which bottleneck the balance between reconstruction fidelity, computational load, and physical-layer security. In this work, we propose a generalized secure computational imaging framework based on non-Hermitian biorthogonal symmetry breaking. By mapping spatial information into a biorthogonal operator space, we establish an asymmetric sensing architecture governed by distinct left-basis $\langleϕ_{m}\vert{}$ and right-basis $\vert{}ψ_{n}\rangle$ modes, satisfying the biorthogonality relation $\langleϕ_{m}\vert{}ψ_{n}\rangle = δ_{mn}$. Within this manifold, precise tuning of the non-Hermitian parameter $γ$ establishes a physical-layer cryptographic gate, where high-fidelity retrieval is exclusively enabled by matching the dual basis; any parameter mismatch triggers deterministic inter-modal crosstalk that effectively neutralizes unauthorized access. Notably, this architecture intrinsically supports direct, iteration-free image retrieval across a wide range of sampling ratios, significantly reducing the computational overhead compared to conventional iterative reconstruction. We validate this framework on a single-pixel imaging platform, demonstrating a fundamental paradigm shift: by embedding security directly into the measurement physics, we transform image retrieval from a software-dependent task into a parameter-sensitive physical decryption process that ensures architecture-intrinsic confidentiality.
