论文标题
在具有两体相互作用的二维Qubit阵列中生成全能的连接
Generation of all-to-all connections in a two-dimensional qubit array with two-body interactions
论文作者
论文摘要
一般的量子退火机中需要全面连接,以解决各种组合优化问题。用于实现全面连接的Lechner,Hauke和Zoller(LHz)方法需要在本地连接的量子位中进行多体相互作用。由于大多数量子相互作用是两体相互作用,因此Lechner还通过两个量子位之间的六个受控的不连接(CNOT)门提出了每个四体相互作用的构建。但是,很难构建许多CNOT大门。本文中,我们显示了更多的具体序列,以基于二维固态量子系统产生四体和三体相互作用。我们表明,可以使用适当的脉冲序列减少构建多体相互作用所需的操作数量。这些发现将有助于减少解决组合问题的量子计算成本。
All-to-all connections are required in general quantum annealing machines to solve various combinatorial optimization problems. The Lechner, Hauke, and Zoller (LHZ) method, which is used to realize the all-to-all connections, requires many-body interactions in locally connected qubits. Because most of the qubit interactions are two-body interactions, Lechner also proposed the construction of each four-body interaction by six controlled-NOT (CNOT) gates between two qubits. However, it is difficult to construct many CNOT gates. Herein, we show more concrete sequences to produce four-body and three-body interactions based on a two-dimensional solid-state qubit system. We show that the number of operations needed to construct the many-body interactions can be reduced using appropriate pulse sequences. These findings will help reduce quantum computation costs for solving combinatorial problems.