Quantum Lego: Quantum Codes from Tensor Networks

Brad Lackey, Microsoft Quantum
We present quantum lego, a construction method for quantum codes inspired by holography. We discuss tensor enumerators, an analogue of weight enumerators for tensor networks that allows us to compute the weight enumerators of quantum codes at scale. We also present some recent techniques to construct large codes with desirable properties such as low weight stabilizers and targeted transversal gates.


