Möttönen Mikko, Vartiainen Juha J, Bergholm Ville, Salomaa Martti M
Materials Physics Laboratory, POB 2200 (Technical Physics), FIN-02015 HUT, Helsinki University of Technology, Finland.
Phys Rev Lett. 2004 Sep 24;93(13):130502. doi: 10.1103/PhysRevLett.93.130502. Epub 2004 Sep 20.
We consider a generic elementary gate sequence which is needed to implement a general quantum gate acting on n qubits-a unitary transformation with 4(n) degrees of freedom. For synthesizing the gate sequence, a method based on the so-called cosine-sine matrix decomposition is presented. The result is optimal in the number of elementary one-qubit gates, 4(n), and scales more favorably than the previously reported decompositions requiring 4(n)-2(n+1) controlled NOT gates.
我们考虑一个通用的基本门序列，它是实现作用于n个量子比特的一般量子门（具有4(n)个自由度的酉变换）所必需的。为了合成门序列，提出了一种基于所谓余弦-正弦矩阵分解的方法。该结果在基本单量子比特门的数量4(n)方面是最优的，并且比先前报道的需要4(n)-2(n + 1)个控制非门的分解具有更有利的缩放比例。
