Perfect quantum state transfer on diamond fractal graphs

09/18/2019
by   Maxim Derevyagin, et al.
0

We extend the analysis of perfect quantum state transfer beyond one dimensional spin chains to show that it can be achieved and designed on a large class of fractal structures, known as diamond fractals, which have a wide range of Hausdorff and spectral dimensions. The resulting systems are spin networks combining Dyson hierarchical model structure with transverse permutation symmetries of varying order.

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