论文标题
从线性群集状态提取GHz状态
Extracting GHZ states from linear cluster states
论文作者
论文摘要
量子信息处理体系结构通常只允许最接近邻居的纠缠创建。在许多情况下，这会阻止GHz状态的直接生成，GHz状态通常用于许多通信和计算任务。在这里，我们展示了如何在网络中以直线连接的网络中的节点之间获得GHz状态，从而自然允许它们最初共享线性群集状态。我们证明，在一组共享GHz状态的节点的大小上，我们证明了一个严格的上限（n+3）/2 \ rfloor $，可以从$ n $ qubits的线性群集状态获得，使用Local Clifford Unitaries，Local Pauli测量值和经典通信。此外，我们完全表征以下阈值以下节点的所有选择，该节点可以共享在此设置中获得的GHz状态。最后，我们在IBMQ蒙特利尔量子设备上演示了这些转换，该设备的线性群集状态最多为$ n = 19 $ QUBITS。
Quantum information processing architectures typically only allow for nearest-neighbour entanglement creation. In many cases, this prevents the direct generation of GHZ states, which are commonly used for many communication and computation tasks. Here, we show how to obtain GHZ states between nodes in a network that are connected in a straight line, naturally allowing them to initially share linear cluster states. We prove a strict upper bound of $\lfloor (n+3)/2 \rfloor$ on the size of the set of nodes sharing a GHZ state that can be obtained from a linear cluster state of $n$ qubits, using local Clifford unitaries, local Pauli measurements, and classical communication. Furthermore, we completely characterize all selections of nodes below this threshold that can share a GHZ state obtained within this setting. Finally, we demonstrate these transformations on the IBMQ Montreal quantum device for linear cluster states of up to $n=19$ qubits.
