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Observable-geometric phases and quantum computation

编辑:wfy 时间:2019年03月05日 访问次数:370

题目: Observable-geometric phases and quantum computation

报告人:陈泽乾(中国科学院武汉物理与数学研究所

时间:2019年3月8日(星期五) 下午14:00-15:00

地点:工商楼200-9

 

摘要: In this talk, we will present an alternative approach to geometric phases from the observable point of view. Precisely, we introduce the notion of observable-geometric phases, which is defined as a sequence of phases associated with a complete set of eigenstates of the observable. The observable-geometric phases are shown to be connected with the geometry of the observable space evolving according to the Heisenberg equation. It is shown that the observable-geometric phases can be used to realize a universal set of quantum gates in quantum computation. In particular, we show that there is a closed formula between the observable-geometric and topological phases, explicitly exhibiting the relationship of the local and global properties for a quantum system. This sheds a new light on the geometry and topology of a quantum system.

 

联系人: 武俊德  ( wjd@zju.edu.cn