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Explore how error-correcting codes function in quantum communication channels through this 51-minute conference talk from the Gemini Center on Quantum Computing's monthly track meeting. Learn about the fundamental challenges of designing encoding and decoding circuits for reliable message transmission over noisy quantum channels, where traditional assumptions about noise-free gates don't hold due to quantum decoherence effects. Discover how combining fault-tolerant quantum computation techniques with quantum communication methods addresses these practical limitations. Examine the introduction of fault-tolerant versions of quantum capacities that quantify optimal communication rates achievable with vanishing total error when encoding and decoding circuits experience gate errors. Understand the main threshold theorems for classical and quantum capacity, which establish that for every quantum channel and error tolerance, there exists a gate error probability threshold below which high communication rates remain achievable with vanishing overall error. Gain insights into this collaborative research that bridges theoretical quantum information theory with practical implementation challenges facing near-term quantum machines.
