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 nanometer-scale superconducting electrode connected to a reservoir via a Josephson junction constitutes an artificial two-level electronic system:a single-Cooper-pair box. In 2001

the plan of geometrical quantum computation was framed by Duan L M

et 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 Schdinger 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 Schr-dinger equation. The numerical calculation for InAs quantum rings was carried

the material parameters are μ=0.024m0

m0 is mass of free electron

the inner/outer radius of quantum rings is 20/40 nm. The numerical results indicate that probability density distribution of electron has something to do with coordinate and time. When time t

angle φ and height z are given

it does non-periodicity oscillates with increasing radius ρ. When time

angle and radius are given

it increasing firstly and falling secondly with increasing height and achieves maximum if

z

=

h

/2. When time

height and radius are given

it raises firstly and declines with increasing angle and achieves maximum if φ=π. And probability density distribution of electron in quantum bit of quantum ring does periodicity oscillating with time.