The physical implementation of logical qubits using trapped ions

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Fault tolerance is a key step toward the construction of a large-scale quantum computer. Without fault tolerance,small infidelities in quantum gates accumulate over the course of an algorithm, limiting the size of computationsthat could be performed. While the no-cloning Theorem ruled out the naive implementation of classical correctionschemes, new ones such as the Steane code were developed. An important notion associated with quantum error correctioncodes is the logical qubit. Detecting and correcting errors is achieved by using multiple physical qubits to forma smaller number of robust logical qubits. The physical implementation of a logical qubit requires multiple qubit andthe ability to perform high fidelity gates on them.The project aims to realize a logical qubit based on ions confined on a microfabricated surface trap and use thesystem to correct for multiple errors. This project will make use of concepts that have already been demonstratedand currently are under development at the Ion Quantum Technology Group at Sussex. Each physical qubit will bea microwave dressed state qubit based on ytterbium ions, trapped on a microfabricated surface trap. The surface trapwill consist of an X-junction geometry. Gates will be realized through RF and microwave radiation in combinationwith magnetic field gradients [1]. The implementation of a logical qubit forms an integral part of the group's long termeffort to construct a large scale quantum computer as laid out in the blueprint published early 2017