Quantum error correction in continuous variable measurement-based quantum computing

Recent advancements in continuous variable (CV) measurement-based quantum computation (MBQC) have marked a significant leap towards scalable quantum information processing. The ease of generating Gaussian cluster states and implementing the complete set of Clifford gates in a deterministic and scalable manner has fueled this progress. Despite these advancements, the path to universal and error-correctable quantum computation remains laden with challenges, one of which is the realization of quantum error correction, essential for the reliability and robustness of quantum computation.

In our talk, we discuss the integration of quantum error correction within two distinct architectures for CV-MBQC. Our first approach utilizes a three-dimensional cluster state architecture, designed with active components, where beam splitters can be dynamically activated or deactivated. Conversely, our second architecture is based entirely on passive components. This design not only supports the realization of three-dimensional cluster states but also extends to the generation of higher-dimensional (beyond three dimensions) cluster states. This expansion into higher dimensions opens new horizons for quantum computation and error correction capabilities.

These developments mark important steps towards the realization of a universal quantum processor based on continuous variables, with enhanced error correction capabilities.