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Works cited by this work

58 works

Work: On the Structure of Quantum Markov Chains on Cayley Trees Associated with Open Quantum Random Walks

  1. The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity

    P. L. Dobruschin

    Article19688 citations
    ABI

  2. Quantum Markov states on Cayley trees

    Farrukh Mukhamedov, Abdessatar Souissi

    Article20184 citations
    ABI

  3. Finitely correlated states on quantum spin chains

    M. Fannes, Bruno Nachtergaele, Reinhard F. Werner

    Article19924 citations
    ABI

  4. Conditional expectations in von Neumann algebras and a theorem of Takesaki

    Luigi Accardi, Carlo Cecchini

    Article19824 citations
    ABI

  5. On Quantum Markov Chains on Cayley Tree II: Phase Transitions for the Associated Chain with XY-Model on the Cayley Tree of Order Three

    Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov

    Article20114 citations
    ABI

  6. Untitled

    Other4 citations
    ABI

  7. The noncommutative Markovian property

    Luigi Accardi

    Article19753 citations
    ABI

  8. Open Quantum Random Walks

    Stéphane Attal, Francesco Petruccione, Christophe Sabot +1

    Article20123 citations
    ABI

  9. On a Class of Quantum Channels, Open Random Walks and Recurrence

    Carlos F. Lardizabal, Rafael Rigão Souza

    Article20153 citations
    ABI

  10. Phase Transitions for Quantum Markov Chains Associated with Ising Type Models on a Cayley Tree

    Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi

    Article20163 citations
    ABI

  11. Open quantum random walks, quantum Markov chains and recurrence

    Ameur Dhahri, Farrukh Mukhamedov

    Review article20193 citations
    ABI

  12. Model checking quantum Markov chains

    Yuan Feng, Nengkun Yu, Mingsheng Ying

    Article20133 citations
    ABI

  13. Untitled

    Other3 citations
    ABI

  14. Untitled

    Other3 citations
    ABI

  15. Untitled

    Other3 citations
    ABI

  16. Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions

    Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi

    Article20223 citations
    ABI

  17. QUANTUM MARKOV FIELDS

    Luigi Accardi, Francesco Fidaleo

    Article20032 citations
    ABI

  18. Stopping times for quantum Markov chains

    Luigi Accardi, D. Koroliuk

    Article19922 citations
    ABI

  19. Quantum random walks: An introductory overview

    J Kempe

    Article20032 citations
    ABI

  20. Quantum Markov Processes and Applications in Physics

    Burkhard Kümmerer

    Chapter20052 citations
    ABI

  21. Quantum Markov Chains Associated with Open Quantum Random Walks

    Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo

    Article20192 citations
    ABI

  22. Untitled

    Other2 citations
    ABI

  23. Untitled

    Other2 citations
    ABI

  24. On stopping rules for tree-indexed quantum Markov chains

    Abdessatar Souissi

    Article20222 citations
    ABI

  25. Homogeneous open quantum random walks a lattice

    Raffaella Carbone, Yan Pautrat

    Article20162 citations
    ABI