From the 1 of 3 linked papers with an AI index.
3 papers
quant-ph2026
Reliability Functions of Quantum Soft Covering and Privacy Amplification via a Mixed-Order Rényi Divergence
Shi-Bing Li, Hongsen Qiu, Xinyu Zhang
The paper defines a new mixed-order Rényi divergence and uses it to derive exact reliability functions for quantum soft covering and privacy amplification, linking these to mixed-o…
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…
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 (DOs) for negative order with symbols taking values in a semifinite v…