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中文摘要：
通过较精确地求解能量本征方程获得量子环中量子比特内的电子概率密度分布。对InAs量子环的数值计算表明：电子概率密度分布与电子的坐标（半径、高度，角度）及时间有关。当其中三个变量给定时，电子概率密度随另一个变量的变化规律分别为：随半径的增大做非周期性振荡；随高度的变化而变化，在半高处出现的概率最大；随角度作周期变化，在角度等于π处出现的概率最大；随时间作周期性振荡。
英文摘要：
Quantum computing combines computer science with quantum mechanics and is a fast growing research field. In recent years, the outlines of all kinds of achieving quantum computation were devised. In 1999 ,the suggestion of superconductive electronic charge was designed by Nakamura in Japan, a nanometerscale superconducting electrode connected to a reservoir via a Josephson junction constitutes an artificial twolevel electronic system： a single-Cooper-pair box. In 2001, the plan of geometrical quantum computation was framed by Duan L Met al. , the elementary unit of quantum computer is the quantum bit（quanbit）. In 2002, based on an idea that spatial separation of charge states will enhance quantum coherence, Li X Q et al. propose a scheme for a quantum computation with the quantum bit constructed from two coupled quantum dots. In 2003, based on the analytical solution to the time-dependent Schodinger equation, Cen L X et al. evaluate the holonomic quantum computation beyond the adiabatic limit.Low dimensional nanostructures has attracted much attention due to their unique electronic and optical properties as well as potential applications in making electronic and optoelectronic devices. Quantum rings （QRs） stand as an alternative to quantum dots （QDs） as zero-dimensional structures. QRs were extensively applied in optoelectronics, microelectronics and quantum communication because its characteristic electronic shell structure, magnetic field response and transport properties. The potential power of quantum ring is based on the ability of quantum systems to be in a superposition of its basic states. Probability density distribution of electron in quantum bit of quantum ring was studied by solving precisely the time-independent Schrodinger equation. The numerical calculation for InAs quantum rings was carried, the material parameters are μ = 0. 024mο, mο is mass of free electron, the inner/outer radius of quantum rings is 20/40 nm. The numerical results indicate that probability density distribution
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