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H 1 Problems with continuous quantum walks

Auteurs : Godsil, Chris (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the properties of the underlying graph. We have had both successes and failures. The failures lead to a number of interesting open questions, which I will present in my talk.

    Codes MSC :
    05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
    81Q35 - Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.

    Ressources complémentaires :
    https://www.cirm-math.fr/RepOrga/2161/Slides/godsil.pdf

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 13/02/2020
      Date de captation : 20/01/2020
      Collection : Research talks ; Combinatorics ; Computer Science ; Mathematical Physics
      Format : MP4
      Durée : 00:49:20
      Domaine : Mathematical Physics ; Combinatorics ; Computer Science
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2020-01-20_Godsil.mp4

    Informations sur la rencontre

    Nom de la rencontre : 9th International Conference on Quantum Simulation and Quantum Walks / 9e conférence internationale sur la simulation quantique et les marches quantiques
    Organisateurs de la rencontre : Di Molfetta, Giuseppe ; Kendon, Vivien ; Shikano, Yutaka ; Stefkova, Tereza
    Dates : 20/01/2020 - 24/01/2020
    Année de la rencontre : 2020
    URL Congrès : https://conferences.cirm-math.fr/2161.html

    Citation Data

    DOI : 10.24350/CIRM.V.19600503
    Cite this video as: Godsil, Chris (2020). Problems with continuous quantum walks. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19600503
    URI : http://dx.doi.org/10.24350/CIRM.V.19600503


    Voir aussi

    Bibliographie

    1. BOSE, Sougato. Quantum communication through an unmodulated spin chain. Physical review letters, 2003, vol. 91, no 20, p. 207901. - https://arxiv.org/abs/quant-ph/0212041

    2. CHRISTANDL, Matthias, DATTA, Nilanjana, DORLAS, Tony C., et al. Perfect transfer of arbitrary states in quantum spin networks. Physical Review A, 2005, vol. 71, no 3, p. 032312. - https://arxiv.org/abs/quant-ph/0411020

    3. SAXENA, Nitin, SEVERINI, Simone, et SHPARLINSKI, Igor E. Parameters of integral circulant graphs and periodic quantum dynamics. International Journal of Quantum Information, 2007, vol. 5, no 03, p. 417-430. - https://arxiv.org/abs/quant-ph/0703236

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