论文标题

使用矩阵产品运算符模拟的嘈杂多Qubit系统中的非局部相关性

Nonlocal correlations in noisy multiqubit systems simulated using matrix product operators

论文作者

Landa, H., Misguich, G.

论文摘要

我们基于矩阵产品状态和矩阵产品运营商,为Lindblad Master方程式介绍了一个开源求解器。使用该求解器,我们研究了具有不同连接性的数十个相互作用量子位的动力学,重点是一个问题,即边缘量子保持在共振上不断驱动,这是量子设备中的基本操作。由于驾驶,诱导的激发通过量子位传播,直到由于不连贯的术语而达到稳态。我们发现,随着交替的频率量子比特的相互作用,其与非谐音邻居的相互作用显得较弱,隧道激发会导致系统中遥远的Qubits之间的较大相关性。发现某些两量量相关函数被发现作为系统中距离的函数增加(与典型的衰减相反),在两个边缘Qubits上峰值峰值互相峰值。

We introduce an open-source solver for the Lindblad master equation, based on matrix product states and matrix product operators. Using this solver we study the dynamics of tens of interacting qubits with different connectivities, focusing on a problem where an edge qubit is being continuously driven on resonance, which is a fundamental operation in quantum devices. Because of the driving, induced excitations propagate through the qubits until the system reaches a steady state due to the incoherent terms. We find that with alternating-frequency qubits whose interactions with their off-resonant neighbors appear weak, the tunneling excitations lead to large correlations between distant qubits in the system. Some two-qubit correlation functions are found to increase as a function of distance in the system (in contrast to the typical decay with distance), peaking on the two edge qubits farthest apart from each other.

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