Perfect quantum state transfer on diamond fractal graphs
Perfect quantum state transfer on diamond fractal graphs
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DOI：
10.1007/s11128-020-02828-w
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发表时间：
2019-09
影响因子：
2.5
通讯作者：
Maxim S. Derevyagin;G. Dunne;Gamal Mograby;A. Teplyaev
中科院分区：
文献类型：
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作者：
Maxim S. Derevyagin;G. Dunne;Gamal Mograby;A. Teplyaev
在设计用于量子信息和量子计算的新颖协议的探索中，一个重要目标是实现用于超出众所周知的一维情况（诸如1D自旋链）的系统的完美量子状态转移。我们使用分形分析和概率的方法，在分形图（称为钻石分形）上找到一类新的量子自旋链，它们支持完美的量子态转移，并且具有广泛的不同Hausdorff和光谱维数。所得到的系统是自旋网络相结合的戴森分层模型结构与横向排列对称性的不同顺序。
In the quest for designing novel protocols for quantum information and quantum computation, an important goal is to achieve perfect quantum state transfer for systems beyond the well-known one- dimensional cases, such as 1D spin chains. We use methods from fractal analysis and probability to find a new class of quantum spin chains on fractal-like graphs (known as diamond fractals) which support perfect quantum state transfer and which have a wide range of different Hausdorff and spectral dimensions. The resulting systems are spin networks combining Dyson hierarchical model structure with transverse permutation symmetries of varying order.