Semidefinite programming lower bounds on the squashed entanglement

Hamza Fawzi (1) , Omar Fawzi (2, 3)

1 DAMTP - Department of Applied Mathematics and Theoretical Physics [Cambridge]
2 QINFO - Traitement optimal de l'information avec des dispositifs quantiques
3 LIP - Laboratoire de l'Informatique du Parallélisme

The squashed entanglement is a widely used entanglement measure that has many desirable properties. However, as it is based on an optimization over extensions of arbitrary dimension, one drawback of this measure is the lack of good algorithms to compute it. Here, we introduce a hierarchy of semidefinite programming lower bounds on the squashed entanglement.

Domaines: Physique Quantique [quant-ph]

Hamza Fawzi, Omar Fawzi. Semidefinite programming lower bounds on the squashed entanglement. 2022. ⟨hal-03750963⟩