Constant-Overhead Quantum Error Correction with Thin Planar Connectivity

The surface code is the most popular quantum error correction code for the design of large-scale fault-tolerant quantum computers. However, it leads to a huge overhead because each logical qubit is encoded into hundreds of physical qubits. In this talk, I will discuss our proposal for a low overhead quantum error correction scheme based on quantum LDPC codes and a few layers of long-range connections.