Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions

Song Jon; Yibang Han; Jyongguang He; Kim Jyongyon; Daehong Ryang

doi:doi:10.11648/j.ajpa.20251306.13

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Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions

Song Jon^*

, Yibang Han

, Jyongguang He

, Kim Jyongyon

, Daehong Ryang

Published in American Journal of Physics and Applications (Volume 13, Issue 6)

Received: 23 September 2025 Accepted: 10 October 2025 Published: 19 December 2025

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Abstract

In this paper, we consider the three-qubit Heisenberg XYZ model considering DM interaction and KSEA interaction. We use the concurrence, geometric quantum discord, and local quantum uncertainty between the first and third spin as quantum correlation measures. In the absence of a magnetic field and in the presence of a constant magnetic field, quantum correlations appear sudden death and birth, and exhibit a random behavior. In summary, the Heisenberg XYZ model, no adjustment of the exchange interaction strength, DM interaction strength, KSEA interaction strength, and external magnetic field can eliminate the sudden death and births in the evolution of quantum correlations. Thus, we use the particle swarm optimization algorithm (PSO) to determine the magnetic field strength at each time step to increase the quantum correlation. The numerical simulation results show that the quantum correlation increases and reaches a maximum value by our method, and the quantum correlation remains constant at a maximum even after the external magnetic field is cancelled. This result shows that, for any exchange interaction strength, DM interaction strength, and KSEA interaction strength, the quantum correlations reach a certain value and remain at their maximum after the magnetic field is quenched, once the time-varying magnetic field is properly designed. This result provides sufficient possibilities for the use of Heisenberg spin chains as quantum channel.

Published in	American Journal of Physics and Applications (Volume 13, Issue 6)
DOI	10.11648/j.ajpa.20251306.13
Page(s)	169-180
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Concurrence, Geometric Quantum Discord, Local Quantum Uncertainty, Particle Swarm Optimization (PSO), Heisenberg XYZ Model

References

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APA Style

Jon, S., Han, Y., He, J., Jyongyon, K., Ryang, D. (2025). Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions. American Journal of Physics and Applications, 13(6), 169-180. https://doi.org/10.11648/j.ajpa.20251306.13

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ACS Style

Jon, S.; Han, Y.; He, J.; Jyongyon, K.; Ryang, D. Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions. Am. J. Phys. Appl. 2025, 13(6), 169-180. doi: 10.11648/j.ajpa.20251306.13

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AMA Style

Jon S, Han Y, He J, Jyongyon K, Ryang D. Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions. Am J Phys Appl. 2025;13(6):169-180. doi: 10.11648/j.ajpa.20251306.13

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@article{10.11648/j.ajpa.20251306.13,
  author = {Song Jon and Yibang Han and Jyongguang He and Kim Jyongyon and Daehong Ryang},
  title = {Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions},
  journal = {American Journal of Physics and Applications},
  volume = {13},
  number = {6},
  pages = {169-180},
  doi = {10.11648/j.ajpa.20251306.13},
  url = {https://doi.org/10.11648/j.ajpa.20251306.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20251306.13},
  abstract = {In this paper, we consider the three-qubit Heisenberg XYZ model considering DM interaction and KSEA interaction. We use the concurrence, geometric quantum discord, and local quantum uncertainty between the first and third spin as quantum correlation measures. In the absence of a magnetic field and in the presence of a constant magnetic field, quantum correlations appear sudden death and birth, and exhibit a random behavior. In summary, the Heisenberg XYZ model, no adjustment of the exchange interaction strength, DM interaction strength, KSEA interaction strength, and external magnetic field can eliminate the sudden death and births in the evolution of quantum correlations. Thus, we use the particle swarm optimization algorithm (PSO) to determine the magnetic field strength at each time step to increase the quantum correlation. The numerical simulation results show that the quantum correlation increases and reaches a maximum value by our method, and the quantum correlation remains constant at a maximum even after the external magnetic field is cancelled. This result shows that, for any exchange interaction strength, DM interaction strength, and KSEA interaction strength, the quantum correlations reach a certain value and remain at their maximum after the magnetic field is quenched, once the time-varying magnetic field is properly designed. This result provides sufficient possibilities for the use of Heisenberg spin chains as quantum channel.},
 year = {2025}
}

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TY  - JOUR
T1  - Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions
AU  - Song Jon
AU  - Yibang Han
AU  - Jyongguang He
AU  - Kim Jyongyon
AU  - Daehong Ryang
Y1  - 2025/12/19
PY  - 2025
N1  - https://doi.org/10.11648/j.ajpa.20251306.13
DO  - 10.11648/j.ajpa.20251306.13
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 169
EP  - 180
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20251306.13
AB  - In this paper, we consider the three-qubit Heisenberg XYZ model considering DM interaction and KSEA interaction. We use the concurrence, geometric quantum discord, and local quantum uncertainty between the first and third spin as quantum correlation measures. In the absence of a magnetic field and in the presence of a constant magnetic field, quantum correlations appear sudden death and birth, and exhibit a random behavior. In summary, the Heisenberg XYZ model, no adjustment of the exchange interaction strength, DM interaction strength, KSEA interaction strength, and external magnetic field can eliminate the sudden death and births in the evolution of quantum correlations. Thus, we use the particle swarm optimization algorithm (PSO) to determine the magnetic field strength at each time step to increase the quantum correlation. The numerical simulation results show that the quantum correlation increases and reaches a maximum value by our method, and the quantum correlation remains constant at a maximum even after the external magnetic field is cancelled. This result shows that, for any exchange interaction strength, DM interaction strength, and KSEA interaction strength, the quantum correlations reach a certain value and remain at their maximum after the magnetic field is quenched, once the time-varying magnetic field is properly designed. This result provides sufficient possibilities for the use of Heisenberg spin chains as quantum channel.
VL  - 13
IS  - 6
ER  -

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Author Information

Song Jon

Department of Physics, University of Sciences, Pyongyang, Democratic People’s Republic of Korea

Contact Email

http://orcid.org/0000-0003-3617-4718
Yibang Han

Department of Physics, University of Sciences, Pyongyang, Democratic People’s Republic of Korea

http://orcid.org/0009-0002-2603-2724
Jyongguang He

Department of Physics, University of Sciences, Pyongyang, Democratic People’s Republic of Korea

http://orcid.org/0009-0000-1051-4679
Kim Jyongyon

Department of Physics, University of Sciences, Pyongyang, Democratic People’s Republic of Korea

http://orcid.org/0009-0005-2285-946X
Daehong Ryang

Department of Physics, University of Sciences, Pyongyang, Democratic People’s Republic of Korea

http://orcid.org/0009-0009-1896-8478

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APA Style

Jon, S., Han, Y., He, J., Jyongyon, K., Ryang, D. (2025). Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions. American Journal of Physics and Applications, 13(6), 169-180. https://doi.org/10.11648/j.ajpa.20251306.13

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ACS Style

Jon, S.; Han, Y.; He, J.; Jyongyon, K.; Ryang, D. Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions. Am. J. Phys. Appl. 2025, 13(6), 169-180. doi: 10.11648/j.ajpa.20251306.13

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AMA Style

Jon S, Han Y, He J, Jyongyon K, Ryang D. Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions. Am J Phys Appl. 2025;13(6):169-180. doi: 10.11648/j.ajpa.20251306.13

Copy | Download

@article{10.11648/j.ajpa.20251306.13,
  author = {Song Jon and Yibang Han and Jyongguang He and Kim Jyongyon and Daehong Ryang},
  title = {Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions},
  journal = {American Journal of Physics and Applications},
  volume = {13},
  number = {6},
  pages = {169-180},
  doi = {10.11648/j.ajpa.20251306.13},
  url = {https://doi.org/10.11648/j.ajpa.20251306.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20251306.13},
  abstract = {In this paper, we consider the three-qubit Heisenberg XYZ model considering DM interaction and KSEA interaction. We use the concurrence, geometric quantum discord, and local quantum uncertainty between the first and third spin as quantum correlation measures. In the absence of a magnetic field and in the presence of a constant magnetic field, quantum correlations appear sudden death and birth, and exhibit a random behavior. In summary, the Heisenberg XYZ model, no adjustment of the exchange interaction strength, DM interaction strength, KSEA interaction strength, and external magnetic field can eliminate the sudden death and births in the evolution of quantum correlations. Thus, we use the particle swarm optimization algorithm (PSO) to determine the magnetic field strength at each time step to increase the quantum correlation. The numerical simulation results show that the quantum correlation increases and reaches a maximum value by our method, and the quantum correlation remains constant at a maximum even after the external magnetic field is cancelled. This result shows that, for any exchange interaction strength, DM interaction strength, and KSEA interaction strength, the quantum correlations reach a certain value and remain at their maximum after the magnetic field is quenched, once the time-varying magnetic field is properly designed. This result provides sufficient possibilities for the use of Heisenberg spin chains as quantum channel.},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Dynamic Evolution of Quantum Correlations with PSO Algorithm in the Three-qubit Heisenberg XYZ Model Considering DM and KSEA Interactions
AU  - Song Jon
AU  - Yibang Han
AU  - Jyongguang He
AU  - Kim Jyongyon
AU  - Daehong Ryang
Y1  - 2025/12/19
PY  - 2025
N1  - https://doi.org/10.11648/j.ajpa.20251306.13
DO  - 10.11648/j.ajpa.20251306.13
T2  - American Journal of Physics and Applications
JF  - American Journal of Physics and Applications
JO  - American Journal of Physics and Applications
SP  - 169
EP  - 180
PB  - Science Publishing Group
SN  - 2330-4308
UR  - https://doi.org/10.11648/j.ajpa.20251306.13
AB  - In this paper, we consider the three-qubit Heisenberg XYZ model considering DM interaction and KSEA interaction. We use the concurrence, geometric quantum discord, and local quantum uncertainty between the first and third spin as quantum correlation measures. In the absence of a magnetic field and in the presence of a constant magnetic field, quantum correlations appear sudden death and birth, and exhibit a random behavior. In summary, the Heisenberg XYZ model, no adjustment of the exchange interaction strength, DM interaction strength, KSEA interaction strength, and external magnetic field can eliminate the sudden death and births in the evolution of quantum correlations. Thus, we use the particle swarm optimization algorithm (PSO) to determine the magnetic field strength at each time step to increase the quantum correlation. The numerical simulation results show that the quantum correlation increases and reaches a maximum value by our method, and the quantum correlation remains constant at a maximum even after the external magnetic field is cancelled. This result shows that, for any exchange interaction strength, DM interaction strength, and KSEA interaction strength, the quantum correlations reach a certain value and remain at their maximum after the magnetic field is quenched, once the time-varying magnetic field is properly designed. This result provides sufficient possibilities for the use of Heisenberg spin chains as quantum channel.
VL  - 13
IS  - 6
ER  -

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