Diverging entanglement length in gapped quantum spin systems.
Diverging entanglement length in gapped quantum spin systems.
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DOI：
10.1103/physrevlett.92.087201
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发表时间：
2003-11
影响因子：
8.6
通讯作者：
F. Verstraete;M. Martin-Delgado;J. Cirac
中科院分区：
文献类型：
--
作者：
F. Verstraete;M. Martin-Delgado;J. Cirac
我们证明了带隙量子哈密顿的存在，其基态表现出无限的纠缠长度，而不是他们的有限的相关长度。利用纠缠交换的概念，精确计算了价键关联态和非价键关联态的局域纠缠，并讨论了所谓的弦序参量的存在性。我们还报告的证据表明，反铁磁链的基态可以被用作一个完美的量子通道，如果本地测量的个人自旋可以实施。
We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept of entanglement swapping, the localizable entanglement is calculated exactly for valence bond and finitely correlated states, and the existence of the so-called string-order parameter is discussed. We also report on evidence that the ground state of an antiferromagnetic chain can be used as a perfect quantum channel if local measurements on the individual spins can be implemented.