Geometric quantum computation

Abstract

實現可集成的量子計算的關鍵步驟是實現保真度足夠高的一組普適量子邏輯門 .最近幾年發展的幾何量子計算使用幾何位相來實現量子邏輯門 ,其特點是利用幾何位相的整體幾何性質來避免某些局域的無規噪聲的影響 ,從而實現較高保真度的量子門 .文章先簡要介紹常規幾何量子邏輯門的概念 ,然后重點介紹最近提出的非常規幾何量子計算 :量子計算中使用的邏輯門的總位相既包含有幾何位相 ,又包含有動力學位相 ,但它僅依賴于一些幾何特征 .而且 ,對于任意的量子位輸入態 ,在量子門操作過程中積累的位相要么是零 ,要么是僅依賴幾何特征的位相 . The physical implementation of a universal set of high-fidelity quantum gates is a key step in quantum computation. Geometric quantum computation is a promising scenario to achieve high-fidelity quantum gates. In this scheme, quantum gates are realized based on geometric phases, which are dependent only on some global geometric features. In this Communication, we present an overview of geometric quantum computation, especially the unconventional geometric quantum computation recently proposed by us. In the latter scheme, the total phase accumulated in a gate operation consists of both geometric and dynamic components, but for any input state it still only depends on the global geometric features.