Analyzing quantum entanglement with the Schmidt decomposition in operator space

Dear All,

We have the pleasure of inviting you to the seminar of the

‍Quantum Information and Quantum Computing Working Group
(seminar in hybrid form)‍

Speaker: Sophia Denker (University of Siegen)

Title: Analyzing quantum entanglement with the Schmidt decomposition in operator space

‍Time: Wednesday, 12.07.2023 at 14:30 CEST

‍Place: Room 203, Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland

Zoom link: https://us06web.zoom.us/j/84427806931‍

Meeting ID: 844 2780 6931

Access code: nisq

Abstract

Characterizing entanglement is central for quantum information science. Special observables which indicate entanglement, so-called entanglement witnesses, are a widely used tool for this task. The construction of these witnesses typically relies on the observation that quantum states with a high fidelity to some entangled target state are entangled, too. We introduce a general method to construct entanglement witnesses based on the Schmidt decomposition of observables. The method works for two- and, more importantly, many-body systems and is strictly stronger than fidelity-based constructions. The resulting witnesses can also be used to quantify entanglement as well as to characterize the dimensionality of it. Finally, we present experimentally relevant examples, where our approach improves entanglement detection significantly.

________________________________

Kind regards,

Alexandre Orthey,

Remigiusz Augusiak,

Michał Oszmaniec.