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DOE OSTI · 1657612

Perfect quantum state transfer on diamond fractal graphs

Derevyagin, Maxim·Dunne, Gerald V.·Mograby, Gamal·Teplyaev, Alexander
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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. Here, 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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97 MATHEMATICS AND COMPUTINGDiamond fractalHamiltonians with engineered couplingsHierarchical graphsQuantum channelsQuantum computerQuantum state transferSpin chain

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Derevyagin, Maxim, Dunne, Gerald V., Mograby, Gamal, Teplyaev, Alexander. 2020-08-31. Perfect quantum state transfer on diamond fractal graphs. https://doi.org/10.1007/s11128-020-02828-w

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