Localization properties and high-fidelity state transfer in electronic hopping models with correlated disorder
Guilherme M. A. Almeida, Caio V. C. Mendes, Marcelo L. Lyra, Francisco, A. B. F. de Moura

TL;DR
This paper studies how correlated disorder affects localization and enables high-fidelity quantum state transfer in electronic hopping models, revealing the emergence of extended states that facilitate efficient end-to-end quantum communication.
Contribution
It demonstrates that correlated disorder can induce extended states in disordered electronic chains, allowing high-fidelity quantum state transfer despite the presence of disorder.
Findings
Extended states emerge around the band center with strong correlations.
Correlated disorder enables efficient quantum-state transfer.
Eigenstate spectrum is significantly affected by long-range correlations.
Abstract
We investigate a tight-binding electronic chain featuring diagonal and off-diagonal disorder, these being modelled through the long-range-correlated fractional Brownian motion. Particularly, by employing exact diagonalization methods, we evaluate how the eigenstate spectrum of the system and its related single-particle dynamics respond to both competing sources of disorder. Moreover, we report the possibility of carrying out efficient end-to-end quantum-state transfer protocols even in the presence of such generalized disorder due to the appearance of extended states around the middle of the band in the limit of strong correlations.
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