Constructing approximately diagonal quantum gates
Constructing approximately diagonal quantum gates
复制标题
构造近似对角线的量子门
DOI：
10.1142/s0219749922500253
复制
发表时间：
2022
影响因子：
1.2
通讯作者：
Cui, Shawn X.
中科院分区：
文献类型：
--
作者：
Griffin, Colton;Cui, Shawn X.
我们研究了一种产生近似对角1-量子比特门的方法。对于每一个正整数，该方法提供了从固定对角门和任意门迭代定义的门序列。这些序列被证明收敛到对角门双指数快速，并验证了小整数。本文系统地研究了这一猜想，并证明了几个重要的部分结果。一些技术的发展铺平了道路，最终解决的猜想。所提供的序列在量子搜索算法、量子电路编译、拓扑量子计算中无泄漏纠缠门的产生等方面都有应用。
We study a method of producing approximately diagonal 1-qubit gates. For each positive integer, the method provides a sequence of gates that are defined iteratively from a fixed diagonal gate and an arbitrary gate. These sequences are conjectured to converge to diagonal gates doubly exponentially fast and are verified for small integers. We systemically study this conjecture and prove several important partial results. Some techniques are developed to pave the way for a final resolution of the conjecture. The sequences provided here have applications in quantum search algorithms, quantum circuit compilation, generation of leakage-free entangled gates in topological quantum computing, etc.