Visualizing Three-Qubit Entanglement

Junio 11, 2025
De 11:30am hasta 12:30pm

Grey Room 3

Specialist level
Speaker: 
Alfred Benedito
Institution: 
IFT UAM/CSIC
Location&Place: 

Grey Room 3

Abstract: 

Benedito, A., & Sierra, G. (2025). Visualizing three-qubit entanglement. arXiv. https://arxiv.org/abs/2505.23638

Abstract:

We present a graphical framework to represent entanglement in three-qubit states. The geometry associated with each entanglement class and type is analyzed, revealing distinct structural features. We explore the connection between this geometric perspective and the tangle, deriving bounds that depend on the entanglement class. Based on these insights, we conjecture a purely geometric expression for both the tangle and Cayley's hyperdeterminant for non-generic states. As an application, we analyze the energy eigenstates of physical Hamiltonians, identifying the sufficient conditions for genuine tripartite entanglement to be robust under symmetry-breaking perturbations and level repulsion effects.