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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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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author Eduardo K. Soares
Gentil D. de Moraes Neto
Fabiano M. Andrade
author_facet Eduardo K. Soares
Gentil D. de Moraes Neto
Fabiano M. Andrade
author_sort Eduardo K. Soares
collection DOAJ
description 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.
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spelling doaj-art-cfdd029d78b6454eb35da37dfadc67ad2025-08-20T03:07:54ZengMDPI AGEntropy1099-43002025-07-0127776410.3390/e27070764Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin ChainsEduardo K. Soares0Gentil D. de Moraes Neto1Fabiano M. Andrade2Programa de Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa 84030-900, PR, BrazilCollege of Physics and Engineering, Qufu Normal University, Qufu 273165, ChinaPrograma de Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa 84030-900, PR, BrazilWe 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.https://www.mdpi.com/1099-4300/27/7/764quantum spin chainsentanglement generationXX modelquantum information transfer
spellingShingle Eduardo K. Soares
Gentil D. de Moraes Neto
Fabiano M. Andrade
Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains
Entropy
quantum spin chains
entanglement generation
XX model
quantum information transfer
title Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains
title_full Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains
title_fullStr Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains
title_full_unstemmed Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains
title_short Comparative Analysis of Robust Entanglement Generation in Engineered XX Spin Chains
title_sort comparative analysis of robust entanglement generation in engineered xx spin chains
topic quantum spin chains
entanglement generation
XX model
quantum information transfer
url https://www.mdpi.com/1099-4300/27/7/764
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