Entanglement production by independent quantum channels
Entanglement production by independent quantum channels
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DOI：
10.1103/physrevb.74.195112
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发表时间：
2006-11-01
影响因子：
3.7
通讯作者：
Rissler, Joerg
中科院分区：
文献类型：
--
作者：
Legeza, Oers;Gebhard, Florian;Rissler, Joerg
对于周期边界条件下的一维Hubbard模型，我们构造了基态之间的幺正变换，使得变换后的哈密顿量满足开边界条件。尽管单粒子和两粒子相互作用矩阵只连接最近和次最近的邻居，密度矩阵重整化群（DMRG）方法的性能转换后的哈密顿量并没有改善。一些新的相互作用作为独立的量子通道，产生与哈伯德模型原始公式中的周期性边界条件相同的纠缠水平。我们提供了一个详细的分析，这些通道，并表明，除了局部的相互作用，DMRG的性能显着影响的数量和强度的量子信道纠缠的DMRG块。
For the one-dimensional Hubbard model subject to periodic boundary conditions we construct a unitary transformation between basis states so that open boundary conditions apply for the transformed Hamiltonian. Despite the fact that the one-particle and two-particle interaction matrices link nearest and next-nearest neighbors only, the performance of the density-matrix renormalization-group (DMRG) method for the transformed Hamiltonian does not improve. Some of the new interactions act as independent quantum channels, which generate the same level of entanglement as periodic boundary conditions in the original formulation of the Hubbard model. We provide a detailed analysis of these channels and show that, apart from locality of the interactions, the performance of DMRG is effected significantly by the number and the strength of the quantum channels that entangle the DMRG blocks.