A Converse for Fault-tolerant Quantum Computation - Fundamentals and Lower Bounds

Watch a 56-minute lecture exploring fundamental lower bounds on redundancy in fault-tolerant quantum computation, delivered by Prof. Avhishek Chatterjee from IIT Madras at the Centre for Networked Intelligence, IISc. Delve into the analysis of redundancy requirements for ε-accurate implementation of operations including unitary operators, particularly focusing on sub-exponential depth and sub-linear gate size scenarios. Learn how fault-tolerant computation connects with finite blocklength quantum communication problems and understand the implications for noise thresholds in non-degradable noise conditions. Progress through topics including classical versus quantum output comparisons, computational models, noise and decoherence of qubits, and practical implications of fault-tolerant quantum computing. No prior knowledge of quantum computation and communication is required for this accessible presentation by an expert whose research spans stochastic and information networks in both classical and quantum domains.