在量子力學當中，量子系統的特性能夠藉由不存在於與古典世界當中的量子疊加所展現出來。
根據量子疊加的原理，它描述了任兩個或多個狀態能夠被疊加成新的狀態; 因此在線性且獨立的基底下其量子態的叠加便概括了其同調在正交基底下產生的能力。
在本論文裡，我們有別於以往只針對狀態的分析，而是以過程的觀點
介紹兩種量測量化量子態疊加的創造和保存過程。
透過我們的工作，物理過程能夠廣泛地被描述其疊加的能力，因此許多在量子資訊處理上的物理系統能夠立即被探討，例如糾纏態製備的後選擇、雙折射晶體中的量子動力學、量子共振腔中原子與場的量子動力學、量子力學投影量測、三個典型的量子噪音通道以及量子電腦中所需的基本量子邏輯運算閘。

In quantum mechanics, the feature of quantum systems can be demonstrated by quantum superposition that is not present in the classical world.
According to the superposition principle of quantum mechanics, it describes how any two or more quantum states can be superposed together to form another valid quantum state; The superposition of quantum states therefore generalizes the capability of coherence creation in the orthonormal basis to the ability to superpose states in a normalized and linear independent basis.
In this thesis, different with the former analysis of quantum states, we introduce two measures to quantify creation and preservation of superposing quantum states from process perspective.
Through our work, physical process can be characterized such that process can demonstrate superposition capability. Therefore, several physical systems can immediately explored in quantum information processing, such as the post-selection used in entanglement generation, quantum electrodynamics in birefringent crystal, quantum electrodynamics for atom and field in quantum resonator, projective measurement in quantum mechanics, three typical quantum noise channels and the basic quantum logic gates in quantum computer.

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