Towards a Characterization of the Covert Capacity of Bosonic Channels under Trace Distance
Towards a Characterization of the Covert Capacity of Bosonic Channels under Trace Distance
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DOI：
10.1109/isit50566.2022.9834394
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发表时间：
2022-06
期刊：
影响因子：
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通讯作者：
Shi-Yuan Wang;T. Erdogan;M. Bloch
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文献类型：
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作者：
Shi-Yuan Wang;T. Erdogan;M. Bloch
我们的特点上和下界的隐蔽容量的有损热噪声玻色子通道测量隐蔽性时，使用保真度和跟踪距离。虽然我们没有描述确切的隐蔽容量，但我们也提供了实现隐蔽性所需的密钥位数的界限。通过将最近的量子信息理论结果结合在可分离的希尔伯特空间中来建立界限，包括基于位置的编码（Oskouei等人，arXiv：1804.08144 [1]）、凸分裂（Khatri等人，arXiv：1910.03883 [2]）和微扰理论（Grace和Guha，arXiv：2106.05533 [3]）。
We characterize upper and lower bounds for the covert capacity of lossy thermal-noise bosonic channels when measuring covertness using fidelity and trace distance. Although we fall short of characterizing the exact covert capacity, we also provide bounds on the number of secret-key bits required to achieve covertness. The bounds are established by combining recent quantum information theory results in separable Hilbert spaces, including position based coding (Oskouei et al., arXiv: 1804.08144 [1]), convex splitting (Khatri et al., arXiv: 1910.03883 [2]), and perturbation theory (Grace and Guha, arXiv: 2106.05533 [3]).