几何量子计算

Geometric quantum computation

实现可集成的量子计算的关键步骤是实现保真度足够高的一组普适量子逻辑门 .最近几年发展的几何量子计算使用几何位相来实现量子逻辑门 ,其特点是利用几何位相的整体几何性质来避免某些局域的无规噪声的影响 ,从而实现较高保真度的量子门 .文章先简要介绍常规几何量子逻辑门的概念 ,然后重点介绍最近提出的非常规几何量子计算 :量子计算中使用的逻辑门的总位相既包含有几何位相 ,又包含有动力学位相 ,但它仅依赖于一些几何特征 .而且 ,对于任意的量子位输入态 ,在量子门操作过程中积累的位相要么是零 ,要么是仅依赖几何特征的位相 .

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.