English
Entanglement detection in QIT: a RMT approach
Multi angle
Auteurs : Jivulescu, Maria (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 26/07/2024 Date de captation : 08/07/2024 Sous collection : Research School arXiv category : Quantum Physics Domaine : Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:39:10 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-07-08_Jivulescu.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean Morlet Chair - Research school: Random quantum channels: entanglement and entropies / Chaire Jean Morlet - Ecole: Canaux quantiques aléatoires: Intrication et entropiesOrganisateurs de la rencontre : Collins, Benoît ; Demni, Nizar ; Kadri, Hachem ; Lancien, Cécilia ; Nechita, Ion ; Pellegrini, Clément Dates : 08/07/2024 - 12/07/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/3051.html
Données de citation
DOI : 10.24350/CIRM.V.20200003Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Strong convergence for tensor GUE random matrices / Auteur de la Conférence Yuan, Wangjun.
- [Multi angle] Interpolation between random matrices and free operators, and application to Quantum Information Theory / Auteur de la Conférence Parraud, Félix.
- [Multi angle] A Max-Flow approach to Random Tensor Networks / Auteur de la Conférence Loulidi, Faedi.
- [Multi angle] A generic quantum Wielandt's inequality for matrix and Lie algebras / Auteur de la Conférence Capel, Angela.
Bibliographie
- 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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