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Entanglement detection in QIT: a RMT approach

By Maria Jivulescu

Appears in collection : Jean Morlet Chair - Research school: Random quantum channels: entanglement and entropies / Chaire Jean Morlet - Ecole: Canaux quantiques aléatoires: Intrication et entropies

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.

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Citation data

  • DOI 10.24350/CIRM.V.20200003
  • Cite this video Jivulescu, Maria (08/07/2024). Entanglement detection in QIT: a RMT approach. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20200003
  • URL https://dx.doi.org/10.24350/CIRM.V.20200003

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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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