Design quantum error correcting codes by playing with quantum lego blocks

Recent advances in quantum computing have generated tremendous excitement. However, quantum bits are easily corrupted, and protocols known as quantum error correction are essential for maintaining quantum coherence throughout the computation process. Designing effective quantum error-correcting codes is a challenging and creative task that has traditionally relied heavily on “quantizing” classical error-correcting codes. In this talk, I introduce a graphically intuitive, quantum-first framework called Quantum Lego, in which complex and powerful quantum codes can be constructed simply by connecting smaller quantum codes, much like Lego blocks. I will discuss how this reductionist approach to coding theory enables the design of codes in regimes where traditional methods struggle, and how the tools we have developed within this framework both accelerate quantum code analysis and offer a fresh educational perspective on quantum error correction.