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Curated by: Qiskit (180 videos)
Episode 159 Abstract: In this talk, we introduce a new Quantum Lego framework of designing and analyzing quantum error correcting codes. This universal framework is able to create any stabilizer as well as non-stabilizer codes on qubits or qudits by combining a few types of simple lego blocks. We will show how this method facilitates the discovery of new quantum codes, such as those with transversal non-Clifford gates, and how it paves a new path towards automated code design via machine learning. We show that the properties of these codes can also be obtained via their weight enumerator polynomials, which not only provide critical information of the code such as rate and distance, but also tools like (optimal) decoders. By leveraging the modular construction using these "lego blocks", we provide a tensor network method for computing general weight enumerator polynomials that is substantially faster and constitutes the current best algorithm for such tasks. We will also briefly showcase its application in a class of XP stabilizer codes that have non-abelian stabilizer groups. Bio: Charles Cao is an assistant professor of physics at Virginia Tech. His research focuses on the interface of quantum information theory and quantum gravity with a special focus on quantum error correction and the AdS/CFT correspondence. He received his PhD in physics from Caltech in 2018.