Optimal quantum circuit synthesis from controlled-unitary gates

被引：36

作者：

Zhang, J ^{[1
]}

Vala, J

Sastry, S

Whaley, KB

机构：

[1] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA

[2] Univ Calif Berkeley, Dept Chem, Berkeley, CA 94720 USA

[3] Univ Calif Berkeley, Pfizer Ctr Theoret Chem, Berkeley, CA 94720 USA

来源：

PHYSICAL REVIEW A | 2004年 / 69卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevA.69.042309

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using a geometric approach, we derive the minimum number of applications needed for an arbitrary controlled-unitary gate to construct a universal quantum circuit. An analytic construction procedure is presented and shown to be either optimal or close to optimal. This result can be extended to improve the efficiency of universal quantum circuit construction from any entangling gate. In addition, for both the controlled-NOT (CNOT) and double-CNOT gates, we develop simple analytic ways to construct universal quantum circuits with three applications, which is the least possible for these gates.

引用

页码：042309 / 1

页数：6

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