IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v186y2024ics096007792400804x.html
   My bibliography  Save this article

Entangled hidden elephant random walk model

Author

Listed:
  • Souissi, Abdessatar
  • Mukhamedov, Farrukh
  • Soueidi, El Gheteb
  • Rhaima, Mohamed
  • Mukhamedova, Farzona

Abstract

Entangled hidden Markov models (EHMMs) extend classical hidden Markov models into the quantum domain, while elephant random walks (ERWs) are globally inhomogeneous Markov processes with memory-dependent steps. In this paper, we propose a novel approach that combines EHMMs with ERWs. Our focus is on exploring the correlations within an EHMM associated with the ERW dynamics. Moreover, we show that its restriction to a maximal diagonal subalgebra defines an inhomogeneous HMM, and we compute a formula for its mean entropy.

Suggested Citation

  • Souissi, Abdessatar & Mukhamedov, Farrukh & Soueidi, El Gheteb & Rhaima, Mohamed & Mukhamedova, Farzona, 2024. "Entangled hidden elephant random walk model," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s096007792400804x
    DOI: 10.1016/j.chaos.2024.115252
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792400804X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115252?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zu, Chuanjin & Gao, Yanming & Yu, Xiangyang, 2021. "Time fractional evolution of a single quantum state and entangled state," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Albers, Tony & Cisternas, Jaime & Radons, Günter, 2022. "Chaotic diffusion of dissipative solitons: From anti-persistent random walks to Hidden Markov Models," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Oliveros, Anggi Quintero & Carniel, Roberto & Tárraga, Marta & Aspinall, Willy, 2008. "On the application of Hidden Markov Model and Bayesian Belief Network to seismic noise at Las Cañadas Caldera, Tenerife, Spain," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 849-857.
    4. Chang, Jinho & Kwon, Younghun, 2009. "Bell’s inequalities for three-qubit entangled states with white noise," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1201-1207.
    5. Mohamed, A.-B.A. & Aldosari, F.M. & Younis, S.M. & Eleuch, H., 2023. "Quantum memory and entanglement dynamics induced by interactions of two moving atoms with a coherent cavity," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Souissi, Abdessatar & Soueidi, El Gheteb, 2023. "Entangled Hidden Markov Models," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    7. Barhoumi, Abdessatar & Souissi, Abdessatar, 2022. "Recurrence of a class of quantum Markov chains on trees," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Zuo-Yuan & Fang, Yu-Yan & Li, Jin-Fang & Hu, Jie-Ru & Liu, Jin-Ming & Sun, Zhaoxi & Huang, Xinning, 2024. "Entropic uncertainty relation and entanglement of molecular dipoles in an electric field," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Zu, Chuanjin & Yu, Xiangyang, 2022. "Time fractional Schrödinger equation with a limit based fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Tárraga, Marta & Carniel, Roberto & Ortiz, Ramon & García, Alicia & Moreno, Hugo, 2008. "A dynamical analysis of the seismic activity of Villarrica volcano (Chile) during September–October 2000," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1292-1299.
    4. El Allati, A. & Bukbech, S. & El Anouz, K. & El Allali, Z., 2024. "Entanglement versus Bell non-locality via solving the fractional Schrödinger equation using the twisting model," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    5. Souissi, Abdessatar & Soueidy, El Gheteb & Barhoumi, Abdessatar, 2023. "On a ψ-Mixing property for Entangled Markov Chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s096007792400804x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.