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This research demonstrates how engineering complex-phase defects in continuous-time quantum walks can enhance ballistic spreading, even when combining two individually unfavorable configurations via Parrondo-like protocols. The study highlights the critical role of graph topology and time-dependent control strategies for optimizing transport efficiency in defective lattice systems. These findings offer a theoretical pathway to improve coherence preservation and state propagation in future fault-tolerant quantum architectures.
Continuous-time quantum walks on a defective lattice: Boosting the spreading of delocalized states through Parrondo's strategy
arXiv:2511.08795v2 Announce Type: replace Abstract: We investigate the quantum transport of delocalized states in continuous-time quantum walks (CTQWs) on a one-dimensional lattice containing a single defect. The defect is modeled by assigning complex-valued hopping amplitudes to the edges that connect the site corresponding to the mean position of the delocalized initial state to its nearest neighbors. We find that this single defective site is sufficient to enhance the ballistic spreading of an initially Gaussian wave packet. Extending these results, we implement a time-dependent alternation protocol between two distinct defect configurations, each individually yielding poor propagation of the state. The combination of these two unfavorable configurations improves the transport efficiency of the quantum walker, revealing a manifestation of Parrondo's paradox in CTQWs with delocalized initial states. This study provides insights into the role of complex-phase defects and time-dependent protocols in CTQWs, demonstrating that the interplay between quantum interference and graph engineering can effectively enhance quantum transport in discrete lattices.
Abstract:We investigate the quantum transport of delocalized states in continuous-time quantum walks (CTQWs) on a one-dimensional lattice containing a single defect. The defect is modeled by assigning complex-valued hopping amplitudes to the edges that connect the site corresponding to the mean position of the delocalized initial state to its nearest neighbors. We find that this single defective site is sufficient to enhance the ballistic spreading of an initially Gaussian wave packet. Extending these results, we implement a time-dependent alternation protocol between two distinct defect configurations, each individually yielding poor propagation of the state. The combination of these two unfavorable configurations improves the transport efficiency of the quantum walker, revealing a manifestation of Parrondo's paradox in CTQWs with delocalized initial states. This study provides insights into the role of complex-phase defects and time-dependent protocols in CTQWs, demonstrating that the interplay between quantum interference and graph engineering can effectively enhance quantum transport in discrete lattices.
arXiv:2511.08795 [quant-ph]
(or arXiv:2511.08795v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2511.08795 Focus to learn more arXiv-issued DOI via DataCite
Phys. Rev. A 114, 012459 (2026)
https://doi.org/10.1103/p4pl-rvdh Focus to learn more DOI(s) linking to related resources
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