Quantum computers have demonstrable ability to solve problems at a scale beyond brute-
force classical simulation. Interest in quantum algorithms has developed in many areas …

Quantum subspace methods (QSMs) are a class of quantum computing algorithms where
the time-independent Schrödinger equation for a quantum system is projected onto a …

Recent advances in quantum computers are demonstrating the ability to solve problems at a
scale beyond brute force classical simulation. As such, a widespread interest in quantum …

Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

In recent years, research in quantum computing has largely focused on two approaches:
near-term intermediate-scale quantum (NISQ) computing and future fault-tolerant quantum …

The continued development of computational approaches to many-body ground-state
problems in physics and chemistry calls for a consistent way to assess its overall progress …

The nuclear shell model is one of the prime many-body methods to study the structure of
atomic nuclei, but it is hampered by an exponential scaling on the basis size as the number …

The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …

The intensive pursuit for quantum advantage in terms of computational complexity has
further led to a modernized crucial question of when and how will quantum computers …

We present several improvements to the recently developed ground-state preparation
algorithm based on the quantum eigenvalue transformation for unitary matrices (QETU) …