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MON: Monday Contributed Sessions
MON 9: Quantum Entanglement
MON 9.7: Vortrag
Montag, 8. September 2025, 15:45–16:00, ZHG101
Symmetric extensions for the geometric measure of entanglement — •Lisa T. Weinbrenner1, Xiao-Dong Yu2, and Otfried Gühne1 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany — 2Department of Physics, Shandong University, Jinan 250100, China
Entanglement plays an important role in quantum information theory and is often considered to be a resource for quantum metrology, quantum cryptography or other applications. As such, there is an ongoing search for characterization and quantification techniques, measuring the amount and usefulness of entanglement in quantum states. One possible approach is given by the geometric measure of entanglement, which quantifies the entanglement of a state by its distance to the separable states. Although this measure is easily defined, it is known to be in general hard to obtain for multipartite states. The aim of this contribution is to investigate how the geometric measure can be determined by using multiple copies of the state and applying different symmetrization arguments, deriving a hierarchy for the geometric measure.
Keywords: Multipartite entanglement; Entanglement measure