Quantum mechanics has been a constant source of innovation for over a century, and is now opening the door to a new age of information technologies. Identifying the key quantum structures and developing new concepts and methods can accelerate the progress, facilitating the development of new information-processing protocols and the discovery of new connections with other areas of physics.

The quest to create complex synthetic quantum systems from the bottom up is currently one of the most active and exciting areas of physics. It promises the ability to study new and advanced quantum mechanical effects for fundamental science and applications in quantum engineering. Typical experimental systems in this area are cold atoms and ions, nano-resonators, semiconductor quantum dots or superconducting quantum interference devices, with new and exciting ones added regularly. All of these allow large experimental control and detailed theoretical understanding.