Masking quantum information in multipartite systems via Fourier and Hadamard matrices  

作　　者：Chen-Ming Bai Meng-Ya Wang Su-Juan Zhang Lu Liu 

机构地区：[1]Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China

出　　处：《Communications in Theoretical Physics》2025年第2期99-109,共11页理论物理通讯(英文版)

基　　金：supported by the National Natural Science Foundation of China under Grant No.12301590;Natural Science Foundation of Hebei Province under Grant No.A2022210002。

摘　　要：Quantum information masking(QIM)is a crucial technique for protecting quantum data from being accessed by local subsystems.In this paper,we introduce a novel method for achieving1-uniform QIM in multipartite systems utilizing a Fourier matrix.We further extend this approach to construct an orthogonal array with the aid of a Hadamard matrix,which is a specific type of Fourier matrix.This allows us to explore the relationship between 2-uniform QIM and orthogonal arrays.Through this framework,we derive two distinct 2-uniform quantum states,enabling the 2-uniform masking of original information within multipartite systems.Furthermore,we prove that the maximum number of quantum bits required for achieving a2-uniformly masked state is 2^(n)-1,and the minimum is 2^(n-1)+3.Moreover,our scheme effectively demonstrates the rich quantum correlations between multipartite systems and has potential application value in quantum secret sharing.

关 键 词：multipartite systems quantum information masking Fourier matrix orthogonal arrays 

分 类 号：O413[理学—理论物理]