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

This is the second volume of a three-volume set comprising a comprehensive study of the
tractability of multivariate problems. The second volume deals with algorithms using …

Efficient simulation of a quantum system's dynamics is expected to be an important
application area for quantum computers as existing classical computers cannot do this …

Quantum computing technologies have become a hot topic in academia and industry
receiving much attention and financial support from all sides. Building a quantum computer …

Computational fluid dynamics (CFD) simulations are a vital part of the design process in the
aerospace industry. Although reliable CFD results can be obtained with turbulence models …

Differential equations are the foundation of mathematical models representing the universe's
physics. Hence, it is significant to solve partial and ordinary differential equations, such as …

We study summation of sequences and integration in the quantum model of computation.
We develop quantum algorithms for computing the mean of sequences that satisfy a p …

We present a new quantum algorithm for estimating the mean of a real-valued random
variable obtained as the output of a quantum computation. Our estimator achieves a nearly …

Quantum mechanics is well known to accelerate statistical sampling processes over
classical techniques. In quantitative finance, statistical samplings arise broadly in many use …

Quantum singular-value transformation (QSVT) is a framework that has been shown to unify
many primitives in quantum algorithms. In this work we leverage the QSVT framework in two …