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 …

It is for the first time that quantum simulation for high-energy physics (HEP) is studied in the
US decadal particle-physics community planning, and in fact until recently, this was not …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

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 …

Hybrid classical–quantum algorithms aim to variationally solve optimization problems using
a feedback loop between a classical computer and a quantum co-processor, while …

We provide a current perspective on the rapidly develo** field of Majorana zero modes
(MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental …

Gauge theories are fundamental to our understanding of interactions between the
elementary constituents of matter as mediated by gauge bosons,. However, computing the …

Quantum computers are designed to outperform standard computers by running quantum
algorithms. Areas in which quantum algorithms can be applied include cryptography, search …

This chapter sketches the foundations of the subject, discussing salient features of quantum
information, formulates a mathematical model of quantum computation and highlights some …

With quantum computers of significant size now on the horizon, we should understand how
to best exploit their initially limited abilities. To this end, we aim to identify a practical problem …