Conditions for optimal construction of two-qubit nonlocal gates
Conditions for optimal construction of two-qubit nonlocal gates
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DOI：
10.1103/physreva.71.062331
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发表时间：
2004-11
影响因子：
2.9
通讯作者：
Yong-Sheng Zhang;M. Ye;G. Guo
中科院分区：
文献类型：
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作者：
Yong-Sheng Zhang;M. Ye;G. Guo
量子门的优化实现是量子计算机设计的关键。得到了两量子比特幺正操作的最优构造的必要条件。可以证明，B门是唯一可以构造两个量子比特通用电路的门，只有两个应用，即，该条件在基本两量子位门的两个应用的情况下也是足够的。研究还表明，许多完美纠缠不能模拟一个任意的两个量子比特的门，只有三个应用程序。我们展示了一个双量子比特门的构造功率与其镜像门的构造功率之间的关系，并介绍了一种特殊的双量子比特纠缠门，即，一个超级受控门，它可以通过三个应用程序构建任意的两个量子比特门。
Optimal implementation of quantum gates is crucial for designing a quantum computer. The necessary condition for optimal construction of a two-qubit unitary operation is obtained. It can be proved that the B gate is the unique gate that can construct a two-qubit universal circuit with only two applications, i.e., this condition is also sufficient in the case of two applications of the elementary two-qubit gate. It is also shown that many perfect entanglers cannot simulate an arbitrary two-qubit gate with only three applications. We show how a two-qubit gate's construction power is related to the construction power of its mirror gate, and introduce a specific kind of two-qubit entangling gate, i.e., a super controlled gate, which can construct an arbitrary two-qubit gate by three applications.