隨著半導體製造技術在近幾十年來迅速地進步，元件尺寸持續縮小，使得製造量子點技術上能進一步的發展，且在雙量子點的運用上，更是成為了目前極力發展實現量子計算的系統之一。在理論上，利用雙量子點所組成的量子位元(quantum bit)可以取代古典電腦而實現量子電腦中的量子運算，然而在任何兩個量子能階系統都可以被當作一個量子位元。運用如此的量子位元加上其量子電腦的邏輯運算，對未來發展量子電腦的貢獻是必然的。
　　然而由這雙量子點所組成的量子位元，其電子在量子點間的傳輸受到庫倫效應的交互作用影響，所以其傳輸的性質極為複雜，因此在發展量子位元計算的過程，必須掌握這些性質。而本文在前半段部分將一連串的介紹量子點的運用與發展，在後半段部分我們將模擬單電子在量子井和球狀量子點中其尺寸和穿隧率的關係，並進一步的探討其共振穿隧的情形。

　　In the recent years, the technology of semiconductor manufacture makes progress rapidly and the size of photoelectric elements is continuously reduced to get advance in the manufacture of the quantum dots. In addition, the utilization in the double quantum dots has become to realize one of the developments in the systems of quantum computation. The theoretical possibility to perform certain tasks in a much more efficient way using a `quantum computer' instead of a `classical computer', has stimulated the search for physical realizations of the basic building block of such a computer:the quantum bit. In principle, any quantum two-level system can be used as a qubit. In particular, recent studies have put forward double quantum dots as interesting candidates for realizing qubits. The possible application of double quantum dot devices in quantum logic forms an important motivation forthis work.
　　However electron that transports through the double quantum dots made of qubits is affected by the electronic correlation of the Coulomb’s effect.Consequently,the phenomenon of electron transport becomes very complex. Therefore, we must study those properties and use them to develop the qubits. In this article we will introduce the applications and developments of the quantum dots and we will simulate the tunneling rate for the facts of the size in quantum wells and quantum dots in the latter sections.In addition, we discuss the resonant tunneling in the extreme small size.

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