Geometric Measure of Entanglement of Variational Quantum States

Explore the geometric measure of entanglement for variational quantum states in this 44-minute conference talk from the HyperComplex Seminar 2023. Delve into analytical calculations and practical implementations on IBM and Rigetti quantum computers. Examine variational quantum states prepared with rotational RY, RZ, and RXX gates, focusing on their graph structure and relation to quantum graph states constructed using the Ising model evolution operator. Discover analytical results for entanglement across arbitrary graph structures and analyze how rotational gate parameters affect entanglement. Learn about a quantum programming protocol for calculating the geometric measure of entanglement based on mean spin relations. Investigate the entanglement properties of Generative Adversarial Network states, particularly in one-layer cases. Compare theoretical predictions with quantum calculations performed on IBM and Rigetti quantum computers, noting the strong agreement between analytical and experimental results.

K.Gnatenko, Geometric measure of entanglement of variational quantum states, (...)