Quantum Gates Based on Adiabatic Controlling Processes in a Silicon-Based Nuclear Spin Quantum Computer

摘要

Various models for the experimental realization of quantum computation have been proposed. Kane proposed the quantum computation by nuclear spins in a semiconductor, where the nuclear spin of the dopant atom ~(31)P implanted into the silicon substrate is a single qubit and the quantum state is measured by detecting the charge of one electron around the donor (i.e., ~(31)P). Although the implantation of atoms with accuracy and the detection of the single electronic charge are very difficult even in the present state of technology, the Kane's proposal has the possibility of realizing quantum computation by the use of multi-qubits, applying the several existing micro fabrication techniques of semiconductors. Furthermore, the several important experimental techniques for the experimental realization of this proposal, for example, the single ion implantation method and the single electron transistor, have been developed steadily.%Kaneが提案した半導体核スピン量子コンピュータについてパラメータの断熱的変動による系の時間発展を詳細に解析し，その結果に基づき位相シフト演算，制御Z演算を実行するスキームを考察する．