本論文探討在二能階量子系統下，藉由準絕熱逆向調制的方法達到高精度且穩定的量子疊加態。在準絕熱條件(quasiadiabatic conditions)狀況下，量子態在量子系統傳遞時，對系統的參數有良好的穩定度；也就是說，量子態不容易被外在的其他因素所影響。逆向調制(invariant-based inverse engineering)則是一種能加快量子絕熱態在量子系統傳遞速度的方法；換句話說，量子系統維持在絕熱條件時，需要長久的時間傳遞到達特定的量子態，利用逆向調制能有效地縮短所需的時間，並準確地傳遞到特定的量子態。我們將準絕熱條件加入到逆向調制的方法中，形成出另一種絕熱捷徑的方法，不僅能縮短量子態傳遞到特定量子態的時間，也能在量子態傳遞時有良好的穩定度，我們稱之為準絕熱逆向調制(quasiadiabatic inverse engineering)。

In this thesis, we devote efforts to discussing effects of the quasiadiabatic conditions onto the adiabatic criterion in the two-level system, and create the quantum evolution that is robust against the systematic errors for designing a coherent superposition of quantum states. At the same time, through the invariant-based inverse engineering and the quasiadiabatic conditions, we can reduce required time of the evolution and obtain the desired states by setting the specific boundary conditions. Finally, we successfully produce a new kind of shortcuts to adiabaticity, quasiadiabatic inverse engineering.

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