Abstract: The von Neumann entropy measure of entanglement is used to study the fractional quantum Hall effect on the sphere. Numerical results show that the FQHE on the sphere is a maximal entanglement state. While the number of particles in the system is big, the value of the entanglement (E) can be written as the function of the filling factor (ν):E～log21ν.

Key words: entanglement, fractional quantum Hall effect(FQHE), von Neumann entropy, maximal entanglement state(ME state)

摘要： 纠缠的冯纽曼熵测量被用于研究球分数霍尔效应。数值计算表明，球分数霍尔效应为最大纠缠态。当系统中粒子数较多时，纠缠度的值（E）可用霍尔效应的填充因子（ν）表示：E～log21ν。

关键词: 纠缠, 分数霍尔效应, 冯纽曼熵, 最大纠缠态