Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

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

Understanding magnetic phases in quantum mechanical systems is one of the essential
goals in condensed matter physics, and the advent of prototype quantum simulation …

Quantum computing and simulations are creating transformative opportunities by exploiting
the principles of quantum mechanics in new ways to generate and process information. It is …

Because of its geometric nature, holonomic quantum computation is fault tolerant against
certain types of control errors. Although proposed more than a decade ago, the experimental …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

Over the last few decades, quantum chemistry has progressed through the development of
computational methods based on modern digital computers. However, these methods can …

Dynamical maps describe general transformations of the state of a physical system—their
iteration interpreted as generating a discrete time evolution. Prime examples include …

Quantum simulators are devices that actively use quantum effects to answer questions about
model systems and, through them, real systems. In this review we expand on this definition …

The band structure and electronic properties of a material are defined by the sort of
elements, the atomic registry in the crystal, the dimensions, the presence of spin–orbit …