Quantum Error Correction - Fundamentals and Applications in Computing

Learn about quantum error correction in this technical lecture from Barbara Terhal of Delft University of Technology. Explore how practical quantum computing requires achieving error rates significantly lower than what's possible with physical qubits alone. Discover the fundamental approach of encoding logical qubits across multiple physical qubits to enhance error protection, while understanding the critical balance between increased qubit numbers and error sources. Part of the 2023 IAS PCMI Program on Quantum Computation, this presentation delves into the mathematical foundations needed for building near-term quantum computers and analyzing their computational capabilities. Gain insights into how quantum error correction provides a pathway to achieving algorithmically relevant error rates, essential for advancing quantum computing technology.