Exact solutions of holonomic quantum computation

被引：11
|
作者：
Tanimura, S [1 ]
Hayashi, D
Nakahara, M
机构：
[1] Osaka City Univ, Grad Sch Engn, Osaka 5588585, Japan
[2] Kyoto Univ, Dept Engn Phys & Mech, Kyoto 6068501, Japan
[3] Kinki Univ, Dept Phys, Higashiosaka, Osaka 5778502, Japan
来源：
PHYSICS LETTERS A | 2004年 / 325卷 / 3-4期
基金：
日本学术振兴会;
关键词：
quantum computer; unitary gate; holonomy; isoholonomic problem; small circle; control theory;
D O I：
10.1016/j.physleta.2004.03.057
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Holonomic quantum computation is analyzed from geometrical viewpoint. We develop an optimization scheme in which an arbitrary unitary gate is implemented with a small circle in a complex projective space. Exact solutions for the Hadamard, CNOT and 2-qubit discrete Fourier transformation gates are explicitly constructed. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：199 / 205
页数：7
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