Speaker
Description
Quantum entanglement is a foundational resource in quantum information theory, yet its characterization in multipartite systems remains a significant open challenge. In this talk, we investigate entanglement from a geometric perspective, focusing on the Riemannian structure induced by the Fubini–Study metric on the projective Hilbert space of multi-qubit states. By exploiting the local-unitary invariance of this metric, we introduce Entanglement Distance (ED), a measure that quantifies entanglement as the minimum sum of squared Fubini–Study distances between a state and its locally conjugate counterparts.
We analyze the topological and analytic properties of ED for pure multi-qubit states. Furthermore, we bridge the gap between geometric theory and experimental practice by demonstrating how ED can be efficiently estimated on quantum processors. This framework provides a physically robust and computationally accessible tool for benchmarking entanglement in the next generation of quantum devices.