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Dive into the fourth class of an introduction to quantum computing series, presented by Dario Rosa from ICTP-SAIFR/IFT-UNESP. This 1 hour and 20 minute lecture is part of the Perimeter-SAIFR-IFT Journeys into Theoretical Physics program, held from July 22-28, 2024. Explore advanced concepts in quantum computing, building upon the foundation laid in previous classes. Gain insights into cutting-edge developments in this rapidly evolving field, and understand how quantum computing is reshaping our approach to complex computational problems. Benefit from Rosa's expertise as he guides you through intricate quantum algorithms and their potential applications. Perfect for students, researchers, and professionals looking to deepen their understanding of quantum computing principles and their implications for future technological advancements.