论文标题
可整合的单身量子电路
Integrable nonunitary quantum circuits
论文作者
论文摘要
我们表明，最近发现的可集成的Lindblad超级操作器可用于通过证明$ \ check {r} $ - 矩阵完全正面和痕量保留，以用两点门来构建具有两个站点大门的集成单身量子电路。使用债券站点的转换，我们获得了具有三个位点门的相应可集成的非单身量子电路。当仅限于密度矩阵的对角线时，这些量子模型还原为可整合的经典细胞自动机。这种方法可能为系统构造的无事量子电路铺平了道路。
We show that the integrable Lindblad superoperators found recently can be used to build integrable nonunitary quantum circuits with two-site gates by demonstrating that the $\check{R}$-matrices are completely positive and trace preserving. Using the bond-site transformation, we obtain the corresponding integrable nonunitary quantum circuits with three-site gates. When restricted to the diagonals of the density matrix, these quantum models reduce to integrable classical cellular automata. This approach may pave the way for a systematic construction of integrable nonunitary quantum circuits.
