Long Long

activity

20152026

collaborators

5 papers

quant-ph2026

Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States

Chunhe Xiong, Sunho Kim, Long Long +1

We investigate the private capacity of quantum channels using the recently proposed quantum convolution theory for discrete-variable quantum systems. We focus on the role of the ma…

math.FA2022

Order preserving and order reversing operators on the class of $L^{0}$ -convex functions in complete random normed modules

Mingzhi Wu, Tiexin Guo, Long Long

Based on both the fundamental theorem of affine geometry in regular $L^{0}$ -modules and the recent progress in random convex analysis, this paper characterizes the stable fully order…

math.FA2021

The fundamental theorem of affine geometry in regular $L^{0}$ -modules

Mingzhi Wu, Tiexin Guo, Long Long

Let $(Ω, F, P)$ be a probability space and $L^{0} (F)$ the algebra of equivalence classes of real-valued random variables defined on $(Ω, F, P)$ . A left m…

math.AG2018

The fundamental theorem of affine geometry in $(L^{0})^{n}$

Mingzhi Wu, Long Long

Let $L^{0}$ be the algebra of equivalence classes of real valued random variables on a given probability space, and $(L^{0})^{n}$ the $n$ -ary Cartesian power of $L^{0}$ for each integer $n…

math.FA2015

Some results on the Orlicz space generated from a random normed module

Mingzhi Wu, Long Long, Xiaolin Zeng

Noting the important role the abstract $L^{p}$ space has played in the development of random normed modules, in this paper we introduce and study the Orlicz space generated from a ra…

Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States

Order preserving and order reversing operators on the class of L0-convex functions in complete random normed modules

The fundamental theorem of affine geometry in regular L0-modules

The fundamental theorem of affine geometry in (L0)n

Some results on the Orlicz space generated from a random normed module

Order preserving and order reversing operators on the class of $L^{0}$ -convex functions in complete random normed modules

The fundamental theorem of affine geometry in regular $L^{0}$ -modules

The fundamental theorem of affine geometry in $(L^{0})^{n}$