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A quantum algorithm for solving the advection equation by embedding the discrete time-marching operator into Hamiltonian simulations is presented. One-dimensional advection can be simulated directly since the central finite difference…

量子物理 · 物理学 2024-07-17 Peter Brearley , Sylvain Laizet

Emerging quantum processors provide an opportunity to explore new approaches for solving traditional problems in the post Moore's law supercomputing era. However, the limited number of qubits makes it infeasible to tackle massive real-world…

The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

介观与纳米尺度物理 · 物理学 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

We develop an approach to quantum dynamics based on quantum phase space trajectories. The latter are built from a unitary irreducible representation of the symmetry group of the respective classical phase space. We use a quantum action…

广义相对论与量子宇宙学 · 物理学 2018-08-08 Przemysław Małkiewicz , Artur Miroszewski , Hervé Bergeron

Quantum machine learning (QML) is a discipline that seeks to transfer the advantages of quantum computing to data-driven tasks. However, many studies rely on toy datasets or heavy feature reduction, raising concerns about their scalability.…

量子物理 · 物理学 2025-04-16 Federico Tiblias , Anna Schroeder , Yue Zhang , Mariami Gachechiladze , Iryna Gurevych

It is shown in the paper that the unitary quantum dynamics in quantum mechanics is the universal quantum driving force to speed up a quantum computation. This assertion supports strongly in theory that the unitary quantum dynamics is the…

量子物理 · 物理学 2011-11-23 Xijia Miao

Quantum computers are a promising candidate to radically expand computational science through increased computing power and more effective algorithms. In particular quantum computing could have a tremendous impact in the field of quantum…

量子物理 · 物理学 2018-12-20 Charles D. Kocher , Michael McGuigan

We introduce a hybrid classical-quantum algorithm to compute dynamical correlation functions and excitation spectra in many-body quantum systems, with a focus on molecular systems. The method combines classical preparation of a perturbed…

量子物理 · 物理学 2025-10-30 Alessandro Santini , Stefano Barison , Filippo Vicentini

By putting together an abstract view on quantum mechanics and a quantum-optics picture of the interactions of an atom with light, we develop a corresponding set of C++ classes that set up the numerical analysis of an atom with an arbitrary…

原子物理 · 物理学 2017-03-23 Juha Javanainen

The development of the mlpack C++ machine learning library (http://www.mlpack.org/) has required the design and implementation of a flexible, robust optimization system that is able to solve the types of arbitrary optimization problems that…

数学软件 · 计算机科学 2017-11-20 Ryan R. Curtin , Shikhar Bhardwaj , Marcus Edel , Yannis Mentekidis

Over a decade ago, it was demonstrated that quantum computing has the potential to revolutionize numerical linear algebra by enabling algorithms with complexity superior to what is classically achievable, e.g., the seminal HHL algorithm for…

量子物理 · 物理学 2025-11-11 Liron Mor Yosef , Haim Avron

We present QSystem, an open-source platform for the simulation of quantum circuits focused on bitwise operations on a Hashmap data structure storing quantum states and gates. QSystem is implemented in C++ and delivered as a Python module,…

量子物理 · 物理学 2020-04-08 Evandro Chagas Ribeiro da Rosa , Bruno G. Taketani

Every open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing…

量子物理 · 物理学 2022-10-19 Dariusz Chruściński , Kimmo Luoma , Jyrki Piilo , Andrea Smirne

The analysis of symmetry in quantum systems is of utmost theoretical importance, useful in a variety of applications and experimental settings, and is difficult to accomplish in general. Symmetries imply conservation laws, which partition…

量子物理 · 物理学 2023-10-20 Caleb Rotello , Eric B. Jones , Peter Graf , Eliot Kapit

We present a framework for efficiently performing Monte Carlo wave-function simulations in cavity QED with moving particles. It relies heavily on the object-oriented programming paradigm as realised in C++, and is extensible and applicable…

量子物理 · 物理学 2009-11-13 A. Vukics , H. Ritsch

Linear equations play a pivotal role in many areas of science and engineering, making efficient solutions to linear systems highly desirable. The development of quantum algorithms for solving linear systems has been a significant…

量子物理 · 物理学 2025-02-20 Nhat A. Nghiem

In this paper, we will introduce the quantum circuit simulator we developed in C++ environment. We devise a novel method for efficient memory handling using linked list structures that enables us to simulate a quantum circuit of up to 20…

量子物理 · 物理学 2007-05-23 Wissam Abdel Samad , Roy Ghandour , Mohamad Nabil Hajj Chehade

While quantum computing provides an exponential advantage in solving system of linear equations, there is little work to solve system of nonlinear equations with quantum computing. We propose quantum Newton's method (QNM) for solving…

量子物理 · 物理学 2025-12-29 Cheng Xue , Yu-Chun Wu , Guo-Ping Guo

In the future, ab initio quantum simulations of heavy ion collisions may become possible with large-scale fault-tolerant quantum computers. We propose a quantum algorithm for studying these collisions by looking at a class of observables…

高能物理 - 格点 · 物理学 2021-12-08 Thomas D. Cohen , Henry Lamm , Scott Lawrence , Yukari Yamauchi

Quantum computing promises potential for science and industry by solving certain computationally complex problems faster than classical computers. Quantum computing systems evolved from monolithic systems towards modular architectures…

量子物理 · 物理学 2023-08-15 Nishant Saurabh , Shantenu Jha , Andre Luckow