Quantum Error Correction and Detection at Quantinuum

In this presentation I will quickly introduce Quantinuum's hardware, based on moving trapped-ions, and discuss key features that make it very attractive for demonstrating quantum error correction (QEC) protocols. I will briefly describe two of those demonstrations: real-time fault-tolerant quantum error correction with the Steane code, and a logical CNOT between two code blocks. Moving beyond QEC primitives, I will present the fault-tolerant implementation of a small one-qubit addition algorithm. The rest of the presentation will consist on a deep dive into a partially fault-tolerant technique to protect very expressive quantum circuits with a minimal-overhead quantum error detection code. Finally, the opportunities and scalability limits of this approach will be discussed, and I will outline the development plans for the next generation of Quantinuum's quantum hardware.