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arXiv 0909.2918quant-phcond-mat.othercond-mat.str-el
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分子三量子比特系统中的纠缠

Entanglement in a molecular three-qubit system

Amit Kumar Pal, Indrani Bose

摘要:

研究了具有各向异性交换相互作用和外加磁场的海森堡自旋哈密顿量所描述的分子三量子比特系统的纠缠特性.通过将哈密顿量的两个参数$x$和$y$调整到特定值,系统表现出一阶量子相变。三量子比特链是开放的,因此存在两种类型的成对纠缠:最近邻(n.n.)和次近邻(n.n.n.)。我们计算了基态和热态的并发,量化成对纠缠,作为参数$x$,$y$和温度$T$的函数。纠缠阈值和间隙温度也被确定为各向异性参数$x$的函数。所获得的结果在理解最近工程化的分子$Cr_{7}Ni$ - $Cu^{2+}$ - $Cr_{7}Ni$复合物的纠缠特征方面具有相关性,该复合物在足够低的温度下用作三量子比特系统。

英文摘要:

We study the entanglement properties of a molecular three-qubit system described by the Heisenberg spin Hamiltonian with anisotropic exchange interactions and including an external magnetic field. The system exhibits first order quantum phase transitions by tuning two parameters, $x$ and $y$, of the Hamiltonian to specific values. The three-qubit chain is open ended so that there are two types of pairwise entanglement : nearest-neighbour (n.n.) and next-nearest-neighbour (n.n.n.). We calculate the ground and thermal state concurrences, quantifying pairwise entanglement, as a function of the parameters $x$, $y$ and the temperature $T$. The entanglement threshold and gap temperatures are also determined as a function of the anisotropy parameter $x$. The results obtained are of relevance in understanding the entanglement features of the recently engineered molecular $Cr_{7}Ni$-$Cu^{2+}$-$Cr_{7}Ni$ complex which serves as a three-qubit system at sufficiently low temperatures.

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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