Variational Quantum Algorithms for the Geometric Measure of Entanglement

Explore the world of Variational Quantum Algorithms (VQAs) and their application to the Geometric Measure of Entanglement in this one-hour lecture by Leonardo Zambrano from PCS Institute for Basic Science. Delve into the fundamentals and key principles of VQAs, understanding their potential for achieving quantum advantage using noisy quantum devices. Examine the challenges posed by barren plateaus, where the gradient of the cost function vanishes exponentially with increasing qubit numbers, and learn how ansatz design, cost function selection, and noise during training influence their occurrence. Discover two distinct VQAs for determining the Geometric Measure of Entanglement in quantum states, comparing their behaviors regarding barren plateaus and highlighting how problem-solving complexity can vary based on the chosen method.