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Entanglement detection in QIT: a RMT approach
Multi angle
Authors : Jivulescu, Maria (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
In my talk I will recall the theory of entanglement criteria from Quantum Information Theory.
Then I will focus on the entanglement criteria based on tensor norms [Jivulescu, Lancien, Nechita 2022] which distinguishes among as it gives a unique description for well-known criteria such as realignment or SIC-POVM criterion. The tensor norm criterion solves in a positive way conjecture of Shang, Asadian, Zhu, and Guhne by deriving systematic relations between the performance of these two criteria. Connections to the problem of determining threshold points for various criteria are presented.
Keywords : entanglement criteria; QIT
MSC Codes : Then I will focus on the entanglement criteria based on tensor norms [Jivulescu, Lancien, Nechita 2022] which distinguishes among as it gives a unique description for well-known criteria such as realignment or SIC-POVM criterion. The tensor norm criterion solves in a positive way conjecture of Shang, Asadian, Zhu, and Guhne by deriving systematic relations between the performance of these two criteria. Connections to the problem of determining threshold points for various criteria are presented.
Keywords : entanglement criteria; QIT
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 26/07/2024 Conference Date : 08/07/2024 Subseries : Research School arXiv category : Quantum Physics Mathematical Area(s) : Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:39:10 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-07-08_Jivulescu.mp4 
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Information on the Event
Event Title : Jean Morlet Chair - Research school: Random quantum channels: entanglement and entropies / Chaire Jean Morlet - Ecole: Canaux quantiques aléatoires: Intrication et entropiesEvent Organizers : Collins, Benoît ; Demni, Nizar ; Kadri, Hachem ; Lancien, Cécilia ; Nechita, Ion ; Pellegrini, Clément Dates : 08/07/2024 - 12/07/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3051.html
Citation Data
DOI : 10.24350/CIRM.V.20200003Cite this video as: Jivulescu, Maria (2024). Entanglement detection in QIT: a RMT approach. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20200003 URI : http://dx.doi.org/10.24350/CIRM.V.20200003 |
See Also
- [Multi angle] Strong convergence for tensor GUE random matrices / Author of the conference Yuan, Wangjun.
- [Multi angle] Interpolation between random matrices and free operators, and application to Quantum Information Theory / Author of the conference Parraud, Félix.
- [Multi angle] A Max-Flow approach to Random Tensor Networks / Author of the conference Loulidi, Faedi.
- [Multi angle] A generic quantum Wielandt's inequality for matrix and Lie algebras / Author of the conference Capel, Angela.
Bibliography
- JIVULESCU, Maria Anastasia, LUPA, Nicolae, et NECHITA, Ion. On the reduction criterion for random quantum states. Journal of Mathematical Physics, 2014, vol. 55, no 11. - https://doi.org/10.1063/1.4901548
- JIVULESCU, Maria A., LUPA, Nicolae, et NECHITA, Ion. Thresholds for reduction-related entanglement criteria in quantum information theory. Quantum Information & Computation, 2015, vol. 15, no 13-14, p. 1165-1184. - https://doi.org/10.26421/QIC15.13-14-4
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