There is a pressing need to develop new rechargeable battery technologies that can offer
higher energy storage, faster charging, and lower costs. Despite the success of existing …

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 study the question of when investing additional quantum resources in preparing a
ground state will improve the aggregate runtime associated with estimating its energy. We …

Quantum chemistry calculations of large, strongly correlated systems are typically limited by
the computation cost that scales exponentially with the size of the system. Quantum …

The framework of this thesis is fault-tolerant quantum algorithms. Grover's algorithm and
quantum walks are described in Chapter 2. We start by highlighting the central role that …

This paper is concerned with the phase estimation algorithm in quantum computing,
especially the scenarios where (1) the input vector is not an eigenvector;(2) the unitary …

As quantum hardware continues to improve, more and more application scientists have
entered the field of quantum computing. However, even with the rapid improvements in the …

We are living an extraordinary time for quantum computing. Not even a year after the start of
this thesis, in 2019, a team at Google released an article highlighting that they had been …

Understanding quantum many-body behaviours such as exotic phases and spectroscopic
properties in quantum materials and molecular systems is a long-standing problem of both …