Two-uniform quantum information masking in multipartite systems based on orthogonal arrays

Abstract

Quantum information masking constitutes a methodological framework wherein the intrinsic quantum data is obfuscated from the view of local subsystems. In this paper, we explore the connection between 2-uniform quantum information masking and orthogonal arrays. Through constructing an orthogonal array with the Hadamard matrix, we can obtain a 2-uniform state. Furthermore, applying an X-gate to each qubit of this state yields another 2-uniform state. Consequently, the original information can be 2-uniformly masked in multipartite systems. In addition, when the range of quantum bits for the 2-uniform state is 2n−1+3≤N≤2n−1, the original information can also be achieved 2-uniform masking. At last, we provide a specific example for n=4 and demonstrate a specific application based on this example.