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Problems with continuous quantum walks
Multi angle
Authors : Godsil, Chris (Author of the conference)
CIRM (Publisher )
05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
81Q35 - Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
Additional resources :
https://www.cirm-math.fr/RepOrga/2161/Slides/godsil.pdf
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 05C50 - Graphs and linear algebra (matrices, eigenvalues, etc.)
81Q35 - Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
Additional resources :
https://www.cirm-math.fr/RepOrga/2161/Slides/godsil.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/02/2020 Conference Date : 20/01/2020 Subseries : Research talks arXiv category : Combinatorics ; Quantum Physics Mathematical Area(s) : Mathematical Physics ; Combinatorics ; Computer Science Format : MP4 (.mp4) - HD Video Time : 00:49:20 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-01-20_Godsil.mp4 
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Information on the Event
Event Title : 9th International Conference on Quantum Simulation and Quantum Walks / 9e conférence internationale sur la simulation quantique et les marches quantiquesEvent Organizers : Di Molfetta, Giuseppe ; Kendon, Vivien ; Shikano, Yutaka ; Stefkova, Tereza Dates : 20/01/2020 - 24/01/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/2161.html
Citation Data
DOI : 10.24350/CIRM.V.19600503Cite 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 |
See Also
- [Multi angle] Spatial search using lackadaisical quantum walks / Author of the conference Wong, Thomas G..
- [Multi angle] Time-multiplexed quantum walks / Author of the conference Silberhorn, Christine.
- [Post-edited] How to compute using quantum walks / Author of the conference Kendon, Vivien.
- [Multi angle] Photonic graph states and their applications to quantum networks / Author of the conference Barz, Stefanie.
Bibliography
- 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
- 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
- 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
