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arXiv · 1909.08668

Perfect quantum state transfer on diamond fractal graphs

Maxim Derevyagin·Gerald V. Dunne·Gamal Mograby·Alexander Teplyaev
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Abstract

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.

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Maxim Derevyagin, Gerald V. Dunne, Gamal Mograby, Alexander Teplyaev. 2020-08-14. Perfect quantum state transfer on diamond fractal graphs. https://doi.org/10.1007/s11128-020-02828-w

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