XI Conference of Young Scientists "Problems of Theoretical Physics"

Detecting geometric measure of entanglement of graph states on quantum computer

22 Dec 2020, 15:50

20m

Online meeting

Oral talk Mathematical Physics Mathematical Physics

Speaker

Khrystyna Gnatenko (Ivan Franko National University of Lviv, Department for Theoretical Physics)

Description

Graph states generated by operator of evolution with Ising Hamiltonian are studied. The geometric measure of entanglement of the states is quantified analytically. For this purpose relation of the geometric measure of entanglement with the mean value of the spin is used (the relation was obtained in [1]). Also, quantum protocol for preparing graph states of spin system with Ising interaction is constructed. The geometric measure of entanglement of the states is detecting on the IBM's quantum computers.
We obtained that entanglement of spin with other spins in the graph state depends on the graph properties, namely it depends on the degree of vertex that corresponds to the spin.

[1] A. M. Frydryszak, M. I. Samar, V. M. Tkachuk, Eur. Phys. J. D 71, 233 (2017).