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arXiv quant-ph/0611223quant-ph
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线性熵作为双费米子系统的纠缠度量

Linear entropy as an entanglement measure in two-fermion systems

Fabrizio Buscemi, Paolo Bordone, Andrea Bertoni

摘要:

我们描述了一个有效的理论标准,适用于不可区分的粒子量化的任何纯两费米子态的量子关联,基于斯莱特秩的概念。它代表了用于处理非全同粒子系统中的量子纠缠的线性熵的自然推广。这样的标准在这里被应用到电子-电子散射在一个二维系统中,以执行各种自旋配置的纠缠动力学的定量评估和比较的线性熵与替代方法。我们的数值计算结果表明纠缠演化依赖于系统的初态及其自旋分量。与以前的分析完成使用冯诺伊曼熵的差异进行了讨论。从计算的角度来看,根据线性熵结果对纠缠动力学的评估要求要低得多,不需要密度矩阵的对角化。

英文摘要:

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the linear entropy used to treat quantum entanglement in systems of non-identical particles. Such a criterion is here applied to an electron-electron scattering in a two-dimensional system in order to perform a quantitative evaluation of the entanglement dynamics for various spin configurations and to compare the linear entropy with alternative approaches. Our numerical results show the dependence of the entanglement evolution upon the initial state of the system and its spin components. The differences with previous analyses accomplished by using the von Neumann entropy are discussed. The evaluation of the entanglement dynamics in terms of the linear entropy results to be much less demanding from the computational point of view, not requiring the diagonalization of the density matrix.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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