A comprehensive study of quantum arithmetic circuits

S Wang, X Li, WJB Lee, S Deb… - Philosophical …, 2025 - royalsocietypublishing.org
In recent decades, the field of quantum computing has experienced remarkable progress.
This progress is marked by the superior performance of many quantum algorithms …

Quantum computing through the lens of control: A tutorial introduction

J Berberich, D Fink - IEEE Control Systems, 2024 - ieeexplore.ieee.org
Quantum computing is a fascinating interdisciplinary research field that promises to
revolutionize computing by efficiently solving previously intractable problems. Recent years …

Modeling the performance of early fault-tolerant quantum algorithms

Q Liang, Y Zhou, A Dalal, P Johnson - Physical Review Research, 2024 - APS
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 …

Halving the cost of quantum algorithms with randomization

JM Martyn, P Rall - arxiv preprint arxiv:2409.03744, 2024 - arxiv.org
Quantum signal processing (QSP) provides a systematic framework for implementing a
polynomial transformation of a linear operator, and unifies nearly all known quantum …

Quantum linear system solvers: A survey of algorithms and applications

MES Morales, L Pira, P Schleich, K Koor… - arxiv preprint arxiv …, 2024 - arxiv.org
Solving linear systems of equations plays a fundamental role in numerous computational
problems from different fields of science. The widespread use of numerical methods to solve …

Quantum Multiple Eigenvalue Gaussian filtered Search: an efficient and versatile quantum phase estimation method

Z Ding, H Li, L Lin, HK Ni, L Ying, R Zhang - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum phase estimation is one of the most powerful quantum primitives. This work
proposes a new approach for the problem of multiple eigenvalue estimation: Quantum …

Parameter Setting Heuristics Make the Quantum Approximate Optimization Algorithm Suitable for the Early Fault-Tolerant Era

Z He, R Shaydulin, D Herman, C Li, R Raymond… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum Approximate Optimization Algorithm (QAOA) is one of the most promising quantum
heuristics for combinatorial optimization. While QAOA has been shown to perform well on …

Option pricing under stochastic volatility on a quantum computer

G Wang, A Kan - Quantum, 2024 - quantum-journal.org
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 …

Assessment of quantum phase estimation protocols for early fault-tolerant quantum computers

JS Nelson, AD Baczewski - Physical Review A, 2024 - APS
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 …

Majority Voting with Recursive QAOA and Cost-restricted Uniform Sampling for Maximum-Likelihood Detection in Massive MIMO

B Gulbahar - IEEE Transactions on Wireless Communications, 2025 - ieeexplore.ieee.org
Quantum approximate optimization algorithm (QAOA) with layer depth p is promising near-
optimum performance and low complexity for NP-hard maximum-likelihood (ML) detection in …