Berlin 2024 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 5: Entanglement Theory

QI 5.4: Vortrag

Montag, 18. März 2024, 16:00–16:15, HFT-FT 101

Alternatives of entanglement depth and metrological bounds — •Szilárd Szalay1 and Géza Tóth1,21Wigner Research Centre for Physics, Budapest, Hungary — 2UPV/EHU, Bilbao, Spain

We work out the general theory of one-parameter families of partial entanglement properties, and the resulting entanglement depth like quantities. Special cases of these are the depth of partitionability, the depth of producibility (or simply entanglement depth) and the depth of stretchability, based on one-parameter families of partial entanglement properties known earlier. We also construct some further, physically meaningful cases, for instance the squareability, the toughness, and the degree of freedom. Metrological bounds on multipartite entanglement in terms of the quantum Fischer information fit naturally into this framework. Here we formulate these in terms of the depth of squareability, which therefore turns out to be the natural choice, leading to stronger bounds than the usual entanglement depth. We also formulate convex roof bounds for both cases, being much stronger than the direct ones.

Keywords: multipartite entanglement; partial separability; metrological bounds

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