Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains

We present a numerical investigation comparing two entanglement generation protocols in finite XX spin chains with varying spin magnitudes (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>s</m...

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Bibliographic Details
Main Authors: Eduardo K. Soares, Gentil D. de Moraes Neto, Fabiano M. Andrade
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/27/7/764
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Summary:We present a numerical investigation comparing two entanglement generation protocols in finite XX spin chains with varying spin magnitudes (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>s</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>/</mo><mn>2</mn></mrow></semantics></math></inline-formula>). Protocol 1 (P1) relies on staggered couplings to steer correlations toward the ends of the chain. At the same time, Protocol 2 (P2) adopts a dual-port architecture that uses optimized boundary fields to mediate virtual excitations between terminal spins. Our results show that P2 consistently outperforms P1 in all spin values, generating higher-fidelity entanglement in shorter timescales when evaluated under the same system parameters. Furthermore, P2 exhibits superior robustness under realistic imperfections, including diagonal and off-diagonal disorder, as well as dephasing noise. To further assess the resilience of both protocols in experimentally relevant settings, we employ the pseudomode formalism to characterize the impact of non-Markovian noise on the entanglement dynamics. Our analysis reveals that the dual-port mechanism (P2) remains effective even when memory effects are present, as it reduces the excitation of bulk modes that would otherwise enhance environment-induced backflow. Together, the scalability, efficiency, and noise resilience of the dual-port approach position it as a promising framework for entanglement distribution in solid-state quantum information platforms.
ISSN:1099-4300