发表机构
National Taiwan University; Leibniz Universität Hannover; National University of Singapore(国立台湾大学; 汉诺威莱布尼茨大学; 新加坡国立大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文确定了量子窃听信道秘密密钥传输的精确强逆指数,引入Renyi私有信息表征,证明高于私有容量时保真度指数衰减。
AI 中文摘要
我们确定了在一般有限维量子窃听信道上进行秘密密钥传输和生成的精确强逆指数,通过理想秘密密钥的平方保真度联合衡量可靠性和保密性。我们引入了一种新的Renyi私有信息,其正则化表征了这一指数。以普通私有信息表示的精确积分表示给出了一个一致连续性界,表明当Renyi阶趋近于1时,正则化量收敛到私有容量。这为任何窃听信道在高于私有容量的每个速率下建立了指数保真度衰减。
英文摘要
We determine the exact strong converse exponent for secret-key transmission and generation over general finite-dimensional quantum wiretap channels, measuring reliability and secrecy jointly by squared fidelity to an ideal secret key. We introduce a novel Renyi private information whose regularization characterizes this exponent. An exact integral representation in terms of ordinary private information gives a uniform continuity bound, showing that the regularized quantity converges to private capacity as the Renyi order approaches one. This establishes for any wiretap channel an exponential fidelity decay at every rate above private capacity.
Comments37 pages