Seminar: Rotem Liss

On the geometry of entanglement

Rotem Liss, Technion – Israel Institute of Technology

Entanglement is an important concept in quantum information and computing. In this talk, I present a simple geometrical analysis of all rank-2 quantum mixed states. The analysis is complete for all the bipartite states, and is partial for all the multipartite states. The characterization of each rank-2 mixed state is obtained by defining the Bloch sphere spanned by the eigenstates of the density matrix describing the mixed state, and by checking the state’s location within its Bloch sphere. I present various examples of entanglement and separability of mixed states belonging to exactly five classes of Bloch spheres, and I prove that there are no other classes.
Joint work with Michel Boyer and Tal Mor.