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

During the last ten years, superconducting circuits have passed from being interesting
physical devices to becoming contenders for near-future useful and scalable quantum …

Many quantum algorithms have daunting resource requirements when compared to what is
available today. To address this discrepancy, a quantum-classical hybrid optimization …

Using quantum devices supported by classical computational resources is a promising
approach to quantum-enabled computation. One powerful example of such a hybrid …

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

The fundamental principle of artificial intelligence is the ability of machines to learn from
previous experience and do future work accordingly. In the age of big data, classical …

Highlights•Quantum computing and its use for computer-aided product design is discussed
and perspectives for several types of problems are provided.•Hybrid QC methods are likely …

Various fundamental phenomena of strongly correlated quantum systems such as high-T c
superconductivity, the fractional quantum-Hall effect and quark confinement are still awaiting …

Although the simulation of quantum chemistry is one of the most anticipated applications of
quantum computing, the scaling of known upper bounds on the complexity of these …