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The purpose of this paper is to evaluate the possibility of constructing alarge-scale storage-ring-type ion-trap system capable of storing, cooling, andcontrolling a large number of ions as a platform for scalable quantum computing(QC) and quantum simulations (QS). In such a trap, the ions form a crystallinebeam moving along a circular path with a constant velocity determined by thefrequency and intensity of the cooling lasers. In this paper we consider alarge leap forward in terms of the number of qubits, from fewer than 100available in state-of-the-art linear ion-trap devices today to an order of 105crystallized ions in the storage-ring setup. This new trap design unifies twodifferent concepts: the storage rings of charged particles and the linear iontraps used for QC and mass spectrometry. In this paper we use the language ofparticle accelerators to discuss the ion state and dynamics. We outline thedifferences between the above concepts, analyze challenges of the large ringwith a revolving beam of ions, and propose goals for the research anddevelopment required to enable future quantum computers with 1000 times morequbits than available today. The challenge of creating such a large-scalequantum system while maintaining the necessary coherence of the qubits and thehigh fidelity of quantum logic operations is significant. Performing analogquantum simulations may be an achievable initial goal for such a device.Quantum simulations of complex quantum systems will move forward both thefundamental science and the applied research. Nuclear and particle physics,many-body quantum systems, lattice gauge theories, and nuclear structurecalculations are just a few examples in which a large-scale quantum simulationsystem would be a very powerful tool to move forward our understanding ofnature.

physical review. accelerators and beams

Cold ion beam in a storage ring as a platform for large-scale quantum  computers and simulators: challenges and directions for research and  development