Mediated entanglement and correlations in a star network of interacting spins
Mediated entanglement and correlations in a star network of interacting spins
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DOI：
10.1103/physreva.69.042312
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发表时间：
2002-08
影响因子：
2.9
通讯作者：
A. Hutton;S. Bose
中科院分区：
文献类型：
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作者：
A. Hutton;S. Bose
我们分析研究了一个星星网络的自旋，其中所有的自旋相互作用专门和连续的中心自旋通过海森堡XX耦合的强度相等。我们发现，在零温度下，中心自旋与其他自旋的相关性和纠缠程度取决于自旋的总数。我们发现中心自旋的纠缠介导能力取决于这个数的均匀性或奇异性。在无限自旋集合的极限下，纠缠和相关之间在多方可分性方面的差异被清楚地证明。我们还表明，有一个显着的概率，可以最大限度地纠缠任何两个非中心的自旋通过测量所有其他的自旋（一个过程有关的最近引入的概念的局域化纠缠）。这种概率取决于自旋总数的均匀性和奇异性，即使对于无限多的自旋，这种概率也很大。我们展示了如何对称的多方状态的最佳共享和分裂的纠缠可以得到基态的这个系统使用磁场。然后，这些状态可以被映射到飞行的量子比特上，以便传输到远处。我们讨论了一个numbermore »的优势，这种模式的产生和分布的纠缠超过其他标准的方法。«少
We investigate analytically a star network of spins, in which all spins interact exclusively and continuously with a central spin through Heisenberg XX couplings of equal strength. We find that the central spin correlates and entangles the other spins at zero temperature to a degree that depends on the total number of spins. We find that the entanglement mediating capability of the central spin depends on the evenness or oddness of this number. In the limit of an infinite collection of spins, the difference between entanglement and correlations in terms of divisibility among multiple parties is clearly demonstrated. We also show that with a significant probability one can maximally entangle any two noncentral spins by measuring all the other spins (a process related to the recently introduced notion of localizable entanglement). This probability depends on the evenness and oddness of the total number of spins and remains substantial even for an infinite collection of spins. We show how symmetric multiparty states for optimal sharing and splitting of entanglement can be obtained as ground states of this system using a magnetic field. These states can then be mapped on to flying qubits for transmission to distant parties. We discuss a numbermore » of advantages of this mode of generation and distribution of entanglement over other standard methods.« less