The Quantum Information Masking Condition for Pure and Mixed States

Quantum information encoded in an arbitrary quantum state can be hidden from the reduced subsystem and spread over quantum correlation, which is quantum information masking. In this paper, we discuss the problem of masking quantum information encoded in pure and mixed states, respectively from different perspectives. Firstly, for the masking quantum information encoded in pure states, we expand the maskable non-orthogonal set Q over previous literature. Then, for the masking quantum information encoded in mixed states, we acquire the restricted condition that the information contained in states ρ is masked by the operator S. Finally, we get a signification conclusion by working out a classification on S|0⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S \lvert 0\rangle$$\end{document} and S|1⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S \lvert 1\rangle$$\end{document} mapping result of masking quantum information encoded in mixed states.