Geometric quantum computation

被引：232

作者：

Ekert, Artur ^{[1
]}

Ericsson, Marie ^{[1
]}

Hayden, Patrick ^{[1
]}

Inamori, Hitoshi ^{[1
]}

Jones, Jonathan A. ^{[1
]}

Oi, Daniel K.L. ^{[1
]}

Vedral, Vlatko ^{[1
]}

机构：

[1] Centre for Quantum Computation, University of Oxford, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom

来源：

| 2000年 / Taylor and Francis Ltd.卷 / 47期

关键词：

Approximation theory - Computational methods - Equations of motion - Geometry - Hamiltonians - Integral equations - Logic gates - Mathematical transformations - Matrix algebra;

D O I：

10.1080/095003400750039500

中图分类号：

学科分类号：

摘要：

We describe in detail a general strategy for implementing a conditional geometric phase between two spins. Combined with single-spin operations, this simple operation is a universal gate for quantum computation, in that any unitary transformation can be implemented with arbitrary precision using only single-spin operations and conditional phase shifts. Thus quantum geometrical phases can form the basis of any quantum computation. Moreover, as the induced conditional phase depends only on the geometry of the paths executed by the spins it is resilient to certain types of errors and offers the potential of a naturally fault-tolerant way of performing quantum computation.

引用

页码：14 / 15