标题： 簇-伊辛模型中的真实多体纠缠 显示英文标题

标题： Genuine Multipartite Entanglement in the Cluster-Ising Model

摘要： 我们评估和分析了一维簇-伊辛模型中局部真实三体纠缠的度量的确切值。 该模型具有吸引力，因为簇态被认为是应用量子算法的相关源，而伊辛相互作用是一种预期的扰动。 尽管双体纠缠恒为零，但我们发现真实三体纠缠在反铁磁相以及临界点之前簇相中都不为零。 我们证明了局部真实三体纠缠的度量捕捉了拓扑相变的所有特性。 值得注意的是，我们发现真实三体纠缠的量与所考虑的基态是否满足哈密顿量的对称性无关。 我们还提供了强有力的证据，表明对于这个实验上可行的模型，局部真实三体纠缠代表了任何自旋之间唯一不为零的真实多体纠缠。 显示英文摘要

摘要： We evaluate and analyze the exact value of a measure for local genuine tripartite entanglement in the one-dimensional cluster-Ising model. This model is attractive since cluster states are considered to be relevant sources for applying quantum algorithms and the Ising interaction is an expected perturbation. Whereas bipartite entanglement is identically vanishing, we find that genuine tripartite entanglement is non zero in the anti-ferromagnetic phase and also in the cluster phase well before the critical point. We prove that the measure of local genuine tripartite entanglement captures all the properties of the topological phase transition. Remarkably, we find that the amount of genuine tripartite entanglement is independent of whether the considered ground states satisfy or break the symmetries of the Hamiltonian. We provide also strong evidences that for this experimentally feasible model local genuine tripartite entanglement represents the unique non vanishing genuine multipartite entanglement among any spins.