Experimental Quantum Error Correction on Quantinuum Ion Trap

While we are currently in the NISQ era, recent advances in quantum computing hardware and software have opened up opportunities to explore increasingly complex quantum error correction (QEC) primitives. In this talk, we will discuss our recent work in advancing the study of experimental QEC that is enabled by the unique capabilities of Quantinuum’s System Model H1 machines and software. In particular, we utilize our ability to do mid-circuit measurements with low crosstalk, effective all-to-all connectivity, feedforward, conditional quantum and classical operations, and hybrid classical/quantum compute to implement QEC primitives needed to implement universal quantum computing and both determine and apply corrections during computation on up-to two distance-three logical qubits. The capabilities further provide the flexibility to explore different QEC codes, protocols, and decoding schemes. Thus, this work highlights the maturing of current quantum technology towards the goal of large-scale fault-tolerant quantum computing.