IQI Weekly Seminar

Abstract: Several fault-tolerant error correction (EC) protocols have been proposed such as Steane, Shor and Knill EC, each have advantages that depend on certain factors. Recently, Chao and Reichardt proposed a flag-based scheme for performing fault-tolerant EC only applicable to certain distance-three codes while only using two ancilla qubits [1]. Building on their work, I will present a new fault-tolerant EC protocol which is applicable to arbitrary distance codes that satisfy a certain condition while reducing the required number of ancilla qubits. The proposed protocol could be practicable for near term experiments that demonstrate fault-tolerance. Furthermore, we believe our work has potential applications for large quantum computations which use quantum low density parity check (LDPC) codes for protecting against noise.

  [1] R. Chao and B.W. Reichardt, "Quantum error correction with only two extra qubits", arXiv:quant-ph/1705.02329, (2017).

The arXiv link for the paper on which my talk is based on is https://arxiv.org/abs/1708.02246