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Quantum Phase Estimation (QPE) is a cornerstone algorithm for fault-tolerant quantum computation, especially for electronic structure calculations of chemical systems. To accommodate the diverse characteristics of quantum chemical systems,…

Quantum Physics · Physics 2025-10-03 Calvin Ku , Yu-Cheng Chen , Alice Hu , Min-Hsiu Hsieh

We present BSeries.jl, a Julia package for the computation and manipulation of B-series, which are a versatile theoretical tool for understanding and designing discretizations of differential equations. We give a short introduction to the…

Numerical Analysis · Mathematics 2022-12-06 David I. Ketcheson , Hendrik Ranocha

We present the Julia package HomotopyContinuation.jl, which provides an algorithmic framework for solving polynomial systems by numerical homotopy continuation. We introduce the basic capabilities of the package and demonstrate the software…

Mathematical Software · Computer Science 2018-05-31 Paul Breiding , Sascha Timme

In this paper, we introduce a numerical framework designed to solve problems within the emerging field of Waveguide Quantum Electrodynamics (WQED). The framework is based on collision quantum optics, where a localized quantum system…

Quantum Physics · Physics 2025-04-23 Matias Bundgaard-Nielsen , Dirk Englund , Mikkel Heuck , Stefan Krastanov

We develop a framework of "semi-automatic differentiation" that combines existing gradient-based methods of quantum optimal control with automatic differentiation. The approach allows to optimize practically any computable functional and is…

Quantum Physics · Physics 2022-12-13 Michael H. Goerz , Sebastián C. Carrasco , Vladimir S. Malinovsky

Random variables and their distributions are a central part in many areas of statistical methods. The Distributions.jl package provides Julia users and developers tools for working with probability distributions, leveraging Julia features…

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 small-scale instances and to provide an asymptotic speedup over…

PowerDynamics.jl is a Julia package for time-domain modeling of power grids that is specifically designed for the stability analysis of systems with high shares of renewable energies. It makes use of Julia's state-of-the-art differential…

Systems and Control · Electrical Eng. & Systems 2021-12-15 Anton Plietzsch , Raphael Kogler , Sabine Auer , Julia Merino , Asier Gil-de-Muro , Jan Liße , Christina Vogel , Frank Hellmann

It is now clear that the use of resilient encoding schemes will be required for any quantum computing device to be realised. However, quantum programmers of the future will not wish to be tied up in the particulars of such encoding schemes.…

Quantum Physics · Physics 2012-10-03 James Barratt

We introduce AriaQuanta, a powerful and flexible tool for designing, simulating, and implementing quantum circuits. This open-source software is designed to make it easy for users of all experience levels to learn and use quantum computing.…

Quantum Physics · Physics 2025-04-09 A. Cheraghi , H. Davoodi Yeganeh

With the advent of large-scale quantum annealing devices, several challenges have emerged. For example, it has been shown that the performance of a device can be significantly affected by several degrees of freedom when programming the…

Quantum Physics · Physics 2015-03-04 Alejandro Perdomo-Ortiz , Joseph Fluegemann , Rupak Biswas , Vadim N. Smelyanskiy

Quantum chemistry is among the most promising applications of quantum computing, offering the potential to solve complex electronic structure problems more efficiently than classical approaches. A critical component of any quantum algorithm…

Quantum Physics · Physics 2025-06-02 Smik Patel , Praveen Jayakumar , Tzu-Ching Yen , Artur F. Izmaylov

Quantum simulation of chemistry and materials is predicted to be an important application for both near-term and fault-tolerant quantum devices. However, at present, developing and studying algorithms for these problems can be difficult due…

Quantum computing has demonstrated the potential to solve computationally intensive problems more efficiently than classical methods. Many software engineering tasks, such as test case selection, static analysis, code clone detection, and…

Software Engineering · Computer Science 2025-06-10 Jianjun Zhao

Quantum control is essential for quantum information science and technology, yet designing high-fidelity control protocols remains challenging due to complex optimization landscapes, hardware noise, and long pulse sequences. Existing…

The Smoothed Finite Element Method (S-FEM) proposed by Liu G.R. can achieve more accurate results than the conventional FEM. Currently, much commercial software and many open-source packages have been developed to analyze various science…

Mathematical Software · Computer Science 2020-02-21 Zenan Huo , Gang Mei , Nengxiong Xu

To address the urgent need in the NISQ era for high-performance, scalable quantum compilers and to advance the integration of classical and quantum computing, we present QLLVM, an advanced Quantum-Classical co-compilation framework built on…

Quantum Physics · Physics 2026-04-17 Yu Zhu , Qiming Du , Yuqiong Jin , Woji He , Hang Lian , Xin Zhou , Jinchen Xu , Zheng Shan

Several quantities of interest in quantum information, including entanglement and purity, are nonlinear functions of the density matrix and cannot, even in principle, correspond to proper quantum observables. Any method aimed to determine…

Quantum Physics · Physics 2009-08-25 Matteo G. A. Paris

Context. Quantum computing is becoming a reality, and quantum software engineering (QSE) is emerging as a new discipline to enable developers to design and develop quantum programs. Objective. This paper presents a systematic mapping study…

Software Engineering · Computer Science 2023-06-02 Manuel De Stefano , Fabiano Pecorelli , Dario Di Nucci , Fabio Palomba , Andrea De Lucia

We introduce JuliVQC: a light-weight, yet extremely efficient variational quantum circuit simulator. JuliVQC is part of an effort for classical simulation of the \textit{Zuchongzhi} quantum processors, where it is extensively used to…

Quantum Physics · Physics 2024-06-28 Wei-You Liao , Xiang Wang , Xiao-Yue Xu , Chen Ding , Shuo Zhang , He-Liang Huang , Chu Guo