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 large overhead because each logical qubit is encoded into hundreds of physical qubits. Quantum LDPC codes could lead to a significant reduction of the qubit count. In this talk, I will discuss the decoding problem for these codes. I will describe a fast decoder for the correction of erasures with hypergraph product codes, which form one of the most popular families of quantum LDPC codes.
Based on joint work with Nicholas Connolly, Vivien Londe and Anthony Leverrier. (arxiv:2208.01002)
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