4 papers
Strong Converse Exponents of Quantum Soft Covering and Privacy Amplification
Shi-Bing Li, Hongsen Qiu, Xinyu Zhang
We determine the exact strong converse exponent of quantum soft covering under the sandwiched R{é}nyi divergence for all orders . For $α\in[\frac{1}{2},1)…
Reliability Functions of Quantum Soft Covering and Privacy Amplification via a Mixed-Order Rényi Divergence
Shi-Bing Li, Hongsen Qiu, Xinyu Zhang
In this paper, we introduce a novel mixed-order Rényi divergence and investigate its fundamental properties. Using this divergence, we define a family of mixed-order order-two Rény…
Two-Parameter Rényi Information Quantities with Applications to Privacy Amplification and Soft Covering
Shi-Bing Li, Ke Li, Lei Yu
There are no universally accepted definitions of Rényi conditional entropy and Rényi mutual information, although motivated by different applications, several definitions have been…
Large Deviation Analysis for the Reverse Shannon Theorem
Shi-Bing Li, Ke Li, Lei Yu
Channel simulation is to simulate a noisy channel using noiseless channels with unlimited shared randomness. This can be interpreted as the reverse problem to Shannon's noisy codin…