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QI: Fachverband Quanteninformation

QI 9: Quantum Entanglement II

QI 9.4: Talk

Tuesday, March 11, 2025, 11:45–12:00, HS IX

Super-activation and incompressibility of genuine multipartite entanglement — •Lisa T. Weinbrenner1, Klára Baksová2, Sophia Denker1, Simon Morelli3, Xiao-Dong Yu4, Nicolai Friis2, and Otfried Gühne11Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany — 2Atominstitut, TU Wien, Vienna, Austria — 3Basque Center for Applied Mathematics (BCAM), Bilbao, Spain — 4Department of Physics, Shandong University, Jinan 250100, China

Quantum correlations in the form of entanglement, quantum steering or Bell non-locality are resources for various information-processing tasks, but their detailed quantification and characterization remains complicated. One counter-intuitive effect is the phenomenon of super-activation of correlations, meaning that two copies of a quantum state may exhibit forms of correlations which are absent on the single-copy level.

In this contribution, we develop a systematic approach towards a full understanding of this phenomenon using the paradigm of genuine multipartite entanglement [1]. We introduce systematic methods for studying super-activation of entanglement based on symmetries and generalized notions of multipartite distillability. With this, we present novel criteria for super-activation as well as a quantitative theory of it. Moreover, we uncover forms of incompressible entanglement on multi-copy systems, which cannot be reduced to the single-copy level.

[1] Yamasaki et al., Quantum 6, 695 (2022); Palazuelos & de Vicente, Quantum 6, 735, (2022)

Keywords: Entanglement; Super-activation; Multi-copy system

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