A milestone in the field of quantum computing will be solving problems in quantum chemistry
and materials faster than state-of-the-art classical methods. The current understanding is …

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 …

We propose a class of randomized quantum algorithms for the task of sampling from matrix
functions, without the use of quantum block encodings or any other coherent oracle access …

Progress in fault-tolerant quantum computation (FTQC) has driven the pursuit of practical
applications with early fault-tolerant quantum computers (EFTQC). These devices, limited in …

We present a hybrid quantum-classical framework for simulating generic matrix functions
more amenable to early fault-tolerant quantum hardware than standard quantum singular …

Solving quantum molecular systems presents a significant challenge for classical
computation. The advent of early fault-tolerant quantum computing (EFTQC) devices offers a …

Molecular orbital theory is powerful both as a conceptual tool for understanding chemical
bonding, and as a theoretical framework for ab initio quantum chemistry. Despite its …

We develop quantum algorithms for pricing Asian and barrier options under the Heston
model, a popular stochastic volatility model, and estimate their costs, in terms of T-count, T …

We compare several quantum phase estimation (QPE) protocols intended for early fault-
tolerant (EFT) quantum computers in the context of models of their implementations on a …

In this review, we give an overview of the proposed applications in the early-FTQC (EFTQC)
era. Starting from the error correction architecture for EFTQC device, we first review the …