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Explore the construction of high-quality quantum error-correcting codes through tensor product methods in this 36-minute conference talk from the ICTS Workshop on High Dimensional Expanders and Codes. Learn how tensor products can be leveraged to create quantum codes with desirable properties, building on fundamental principles of quantum error correction and algebraic coding theory. Discover the mathematical frameworks that enable the systematic construction of quantum codes with good parameters, including distance and rate properties essential for practical quantum computing applications. Examine the theoretical foundations connecting classical coding theory to quantum information processing, with particular emphasis on how tensor product constructions can yield codes that meet or exceed known bounds. Gain insights into the intersection of high dimensional expansion and quantum coding theory, understanding how these mathematical tools contribute to the development of fault-tolerant quantum computation systems.
