In the past decade, semiconducting qubits have made great strides in overcoming
decoherence, improving the prospects for scalability and have become one of the leading …

In this short review article, we aim to provide physicists not working within the quantum
computing community a hopefully easy-to-read introduction to the state of the art in the field …

The Lie-Trotter formula, together with its higher-order generalizations, provides a direct
approach to decomposing the exponential of a sum of operators. Despite significant effort …

The second quantum revolution has been built on a foundation of fundamental research at
the intersection of physics and information science, giving rise to the discipline we now call …

Universal quantum computers are potentially an ideal setting for simulating many-body
quantum dynamics that is out of reach for classical digital computers. We use state-of-the-art …

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

The variational quantum eigensolver (VQE) has emerged as one of the most promising near-
term quantum algorithms that can be used to simulate many-body systems such as …

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

Shortcuts to adiabaticity are well-known methods for controlling the quantum dynamics
beyond the adiabatic criteria, where counterdiabatic (CD) driving provides a promising …