Universal quantum circuit for two-qubit transformations with three controlled-NOT gates

被引：173
|
作者：
Vidal, G [1 ]
Dawson, CM
机构：
[1] CALTECH, Inst Quantum Informat, Pasadena, CA 91125 USA
[2] Univ Queensland, Ctr Quantum Comp Technol, Brisbane, Qld 4072, Australia
[3] Univ Queensland, Dept Phys, Brisbane, Qld 4072, Australia
来源：
PHYSICAL REVIEW A | 2004年 / 69卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1103/PhysRevA.69.010301
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We consider quantum circuits made of controlled-NOT (CNOT) gates and single-qubit unitary gates and look for constructions that minimize the Use Of CNOT gates. We show, by means of an explicit quantum circuit, that three CNOT gates are necessary and sufficient in order to implement an arbitrary unitary transformation of two qubits. We also identify the subset of two-qubit gates that can be performed with only two CNOT gates and provide a simple characterization for them.
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页数：4
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