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A trapped-ion system has demonstrated a nine-fold reduction in logical error rates using a qLDPC code that encodes four logical qubits into just 18 physical qubits. This architecture achieves breakeven performance while eliminating the need for ion transport, offering a more efficient path to fault-tolerant quantum computing than traditional surface codes. The breakthrough validates sparse parity-check matrices as a viable strategy for reducing the massive physical qubit overhead required for scalable quantum processors.
Quantum Codes Correct Errors Nine Times More Effectively on Single Chip

A quantum error-correcting code now outperforms previous attempts by a factor of nine, achieving a logical error rate unseen in comparable solid-state systems. This demonstration uses just 18 physical qubits to encode four logical qubits, a step towards more efficient fault-tolerance. Instances of this code have also reached breakeven, sustaining qubit lifetimes of 3.
A new fault-tolerant quantum computing method utilising nine quantum error-correcting codes on a trapped-ion quantum computer has been achieved by Edwin Tham of the University of Innsbruck and colleagues. The method delivers a logical error rate up to nine times better than previous work using similar codes on superconducting qubits, employing a quantum low-density parity-check (qLDPC) code encoding four logical qubits into 18 physical qubits. The approach is key for achieving breakeven performance, where qubit lifetimes equal or exceed those of the physical qubits, and features a new optical-metastable-ground (OMG) architecture that enables a streamlined experimental process by removing the need for ion transport or dedicated coolant ions. Error rates dropped to nine times lower than previously achieved…
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