Purifications and Fidelity in Quantum Information and Computation - Lesson 12

Learn about purifications in quantum information and their role in representing arbitrary quantum states through a 44-minute video lecture that delves into density matrices and pure states. Explore the concept of fidelity as a measure of quantum state similarity, while covering essential topics like Schmidt decompositions, unitary equivalence of purifications, and Uhlmann's theorem. Master practical applications through examples of superdense coding and understand cryptographic implications. Examine the HJW theorem, properties of fidelity, and the gentle measurement lemma to build a comprehensive understanding of quantum state relationships and measurements. Written materials complement the video content, available through IBM Quantum Learning.