Xinyu Zhang

collaborators

5 papers

math.OA2026

Endpoint Schatten class properties of commutators on quantum tori

Xinyu Zhang

We study endpoint Schatten class properties of commutators $[I_{θ}^{ε}, M_{x}]$ on quantum tori of dimension $d \geq 2$ , where $I_{θ}^{ε}$ is the Riesz potential of order $ε$ and $M_{x}$ denotes…

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

Exact exponents for smoothing the max-relative entropy and quantum information decoupling in von Neumann algebras

Zhiwen Lin, Hongsen Qiu, Xinyu Zhang

We establish the exact exponent for smoothing the max-relative entropy on arbitrary von Neumann algebras. The proof first develops the required large-deviation and smoothing estima…

math.OA2026

Weyl's laws and Connes' Trace Theorem for operator-valued pseudo-differential operators

Edward McDonald, Xiao Xiong, Xinyu Zhang

We investigate the spectral asymptotic behavior of operator-valued classical pseudo-differential operators ( $Ψ$ DOs) for negative order with symbols taking values in a semifinite vo…