Perfect quantum state transfer on diamond fractal graphs
Mathematical Physics
2021-08-04 v2 Information Theory
Functional Analysis
math.IT
math.MP
Spectral Theory
Quantum Physics
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.
Cite
@article{arxiv.1909.08668,
title = {Perfect quantum state transfer on diamond fractal graphs},
author = {Maxim Derevyagin and Gerald V. Dunne and Gamal Mograby and Alexander Teplyaev},
journal= {arXiv preprint arXiv:1909.08668},
year = {2021}
}
Comments
v2: updated