单量子系统状态相等的两类充分必要条件

Sufficient and Secessary Conditions of Equivalence of Qubit States

量子信息学是数学、物理学与计算机科学相交叉的学科,矩阵理论是基础数学的重要研究领域之一,同时其研究内容和方法在量子信息学中有广泛的应用。von Neumann熵与数值半径是量子信息理论中的基本概念。文中利用矩阵理论研究了单量子系统状态von Neumann熵与数值半径的秩一扰动,给出了单量子系统状态相等的两类充分必要条件。

Quantum information theory is an interdisciplinary science involving mathematics,physics and computer science.Matrix theory,which is one of the fundamental theory,play a key role in quantum information.The concepts of von Neumann entropy and numerical radius are fundamental in quantum information.We give two sufficient and necessary conditions of equivalence of qubit states with respect to the concepts of von Neumann entropy and numerical radius.