Quantum Computational Advantage

This lecture by the instructor covers the topic of testing quantum systems in the high-complexity regime, focusing on quantum computational advantage. It delves into the challenges and advancements in quantum computing, including fault-tolerant quantum computers, the SYCAMORE chip, and tests of quantum computational advantage. The lecture discusses the concept of quantum supremacy, the limitations of artificial tasks in quantum computing, and the difficulty of verifying quantum computational advantage. It also explores the significance of demonstrating a quantum advantage for practical quantum computers through tasks like Boson Sampling and random quantum circuits.