Explore the fundamentals of quantum computing in this comprehensive lecture by Stefano Carrazza from the University of Milan and CERN. Delve into the core concepts and principles that underpin this revolutionary field as part of the ICTP-SAIFR minicourse on quantum computing. Gain insights from an expert in the field as Carrazza introduces key topics and lays the groundwork for understanding quantum computing's potential impact on various scientific disciplines. Learn about quantum bits, superposition, entanglement, and other essential elements that distinguish quantum computing from classical computing paradigms. Discover how these concepts are applied in real-world quantum systems and their potential to solve complex problems that are intractable for classical computers. This hour-long lecture serves as an excellent starting point for those interested in quantum computing, whether you're a student, researcher, or professional looking to expand your knowledge in this cutting-edge field.