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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
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