BACKGROUND The past two decades have seen intense efforts aimed at building quantum
computing hardware with the potential to solve problems that are intractable on classical …

Trapped ions are among the most promising systems for practical quantum computing (QC).
The basic requirements for universal QC have all been demonstrated with ions, and …

We describe and benchmark a new quantum charge-coupled device (QCCD) trapped-ion
quantum computer based on a linear trap with periodic boundary conditions, which …

Quantum annealing is a computing paradigm that has the ambitious goal of efficiently
solving large-scale combinatorial optimization problems of practical importance. However …

Quantum decoherence plays a pivotal role in the dynamical description of the quantum-to-
classical transition and is the main impediment to the realization of devices for quantum …

Quantum computers have made extraordinary progress over the past decade, and
significant milestones have been achieved along the path of pursuing universal fault-tolerant …

Monolithic integration of control technologies for atomic systems is a promising route to the
development of quantum computers and portable quantum sensors,,–. Trapped atomic ions …

Trapped ions offer long coherence times and high fidelity, programmable quantum
operations, making them a promising platform for quantum simulation of condensed matter …

Recent developments in frequency metrology and optical clocks have been based on
electronic transitions in atoms and singly charged ions as references. The control over all …

We implement all single-qubit operations with fidelities significantly above the minimum
threshold required for fault-tolerant quantum computing, using a trapped-ion qubit stored in …