Almost perfect state transfer in quantum spin chains
Almost perfect state transfer in quantum spin chains
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DOI：
10.1103/physreva.86.052319
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发表时间：
2012-05
影响因子：
2.9
通讯作者：
L. Vinet;A. Zhedanov
中科院分区：
文献类型：
--
作者：
L. Vinet;A. Zhedanov
研究了几乎完美状态转移（APST）的自然概念。它在 $XX$ 自旋链的帮助下应用于高效量子线的建模。结果表明，当链的 1 激发能与有理数线性无关时，APST 发生在镜像对称系统中。该结果是作为丢番图近似中克罗内克定理的推论而获得的。 APST 发生的限制条件比完美状态转移 (PST) 少得多，而且还适应了不可避免的缺陷。讨论了一些例子。
The natural notion of almost perfect state transfer (APST) is examined. It is applied to the modelling of efficient quantum wires with the help of $XX$ spin chains. It is shown that APST occurs in mirror-symmetric systems, when the 1-excitation energies of the chains are linearly independent over rational numbers. This result is obtained as a corollary of the Kronecker theorem in Diophantine approximation. APST happens under much less restrictive conditions than perfect state transfer (PST) and moreover accommodates the unavoidable imperfections. Some examples are discussed.