Hongsen Qiu

collaborators

4 papers

math.FA2026

Sharp Quasi-Reverse Minkowski Inequality for Schatten Norms

Hongsen Qiu

Let $∥ \cdot ∥_{p}$ denote the Schatten $p$ -norm and let $∣ A ∣ = (A^{*} A)^{1/2}$ . For $2 \leq p < \infty$ , let $x_{p, m} > 1$ be the unique solution of $x_{p, m}^{p} = 2 x_{p, m} + m - 1$ , and set \[ C_{p…

quant-ph2026

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 $α \in [\frac{1}{2}, \infty)$ . For $α\in[\frac{1}{2},1)…

quant-ph2026

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…

cs.IT2026

Smoothing Exponents and Decoupling in Semifinite von Neumann Algebras

Zhiwen Lin, Hongsen Qiu, Xinyu Zhang

We study the smoothing exponent of the max-relative entropy in semifinite von Neumann algebras. Our main result gives an exact exponent formula in this setting. The proof develops…