Fault-Tolerant Coding for Quantum Communication - Threshold Theorems and Error Rates

Learn about fault-tolerant quantum communication in this technical lecture that explores the challenges and solutions for reliable message transmission over noisy quantum channels. Delve into the intersection of fault-tolerant quantum computation and quantum communication, examining how to design encoding and decoding circuits that can withstand gate errors. Explore threshold theorems for classical and quantum capacity, understanding how to achieve optimal transmission rates with minimal error even when dealing with imperfect quantum gates. Follow along as fundamental concepts like communication channels, coding schemes, Shannon's capacity theorem, and various types of noise are explained. Discover practical applications through examples including the 7-qubit Steane code and effective channel analysis. Gain insights from Alexander Müller-Hermes, an associate professor at the University of Oslo, whose expertise spans quantum information theory, quantum Shannon theory, and entanglement theory.