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arXiv quant-ph/0307009quant-phcond-mat
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自旋系统中的纠缠与关联

Entanglement versus Correlations in Spin Systems

F. Verstraete, M. Popp, J. I. Cirac

摘要:

我们考虑$N\gg 1$自旋或量子比特的纯量子态,并通过对另一个单独的自旋进行局域测量来研究两个分离的自旋之间可以是\emph{localized}的平均纠缠。我们表明,所有经典的关联函数提供下界,这个\emph{localizable entanglement},这是从观察到的经典相关性总是可以增加做适当的本地测量的其他量子比特。我们分析了熟悉的自旋系统中的局域纠缠,并说明了伊辛自旋模型的手,在其中我们观察到的量子相变的特征,如发散纠缠长度的结果。

英文摘要:

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all classical correlation functions provide lower bounds to this \emph{localizable entanglement}, which follows from the observation that classical correlations can always be increased by doing appropriate local measurements on the other qubits. We analyze the localizable entanglement in familiar spin systems and illustrate the results on the hand of the Ising spin model, in which we observe characteristic features for a quantum phase transition such as a diverging entanglement length.

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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