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Quantum simulation of the interactions of fermions and bosons -- the fundamental particles of nature -- is essential for modeling complex quantum systems in material science, chemistry and high-energy physics and has been proposed as a…

A program package for MATLAB is introduced that helps calculations in quantum information science and quantum optics. It has commands for the following operations: (i) Reordering the qudits of a quantum register, computing the reduced state…

Quantum Physics · Physics 2008-09-02 Geza Toth

Simulating quantum states on a classical computer is hard, typically requiring prohibitive resources in terms of memory and computational power. Efficient simulation, however, can be achieved for certain classes of quantum states, in…

Quantum Physics · Physics 2022-12-19 Igor Brandão , Daniel Tandeitnik , Thiago Guerreiro

Recent developments in quantum hardware indicate that systems featuring more than 50 physical qubits are within reach. At this scale, classical simulation will no longer be feasible and there is a possibility that such quantum devices may…

Quantum Physics · Physics 2018-03-06 Mathias Soeken , Thomas Häner , Martin Roetteler

We apply numerical optimization and linear algebra algorithms for classical computers to the problem of automatically synthesizing algorithms for quantum computers. Using our framework, we apply several common techniques from these…

Numerical Analysis · Mathematics 2025-09-16 Yuxin Huang , Benjamin E. Grossman-Ponemon , David A. B. Hyde

Quantum computer provides new opportunities for quantum chemistry. In this article, we present a versatile, extensible, and efficient software package, named Q$^2$Chemistry, for developing quantum algorithms and quantum inspired classical…

Quantum Physics · Physics 2023-01-18 Yi Fan , Jie Liu , Xiongzhi Zeng , Zhiqian Xu , Honghui Shang , Zhenyu Li , Jinlong Yang

Quantum computers have the potential to solve some important industrial and scientific problems with greater efficiency than classical computers. While most current realizations focus on two-level qubits, the underlying physics used in most…

Quantum Physics · Physics 2023-01-06 Kevin Mato , Martin Ringbauer , Stefan Hillmich , Robert Wille

In the era of gravitational-wave astronomy, general-relativistic simulations of compact objects play a role of paramount importance. These calculations can be performed with the Einstein Toolkit, an open-source and community-supported…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Gabriele Bozzola

The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most usual problems when…

Quantum computing holds the potential to solve problems that are practically unsolvable by classical computers due to its ability to significantly reduce time complexity. We aim to harness this potential to enhance ray casting, a pivotal…

Quantum Physics · Physics 2024-09-18 Seungjae Lee , Suhui Jeong , Jiwon Seo

Computer algebra systems play an important role in science as they facilitate the development of new theoretical models. The resulting symbolic equations are often implemented in a compiled programming language in order to provide fast and…

Instrumentation and Methods for Astrophysics · Physics 2022-03-24 Uwe Schmitt , Beatrice Moser , Christiane S. Lorenz , Alexandre Refregier

We present a user-friendly software for photonic analog quantum computing with an installable MATLAB package and the graphical user interface (GUI) that allows for convenient operation without requiring programming skills. Arbitrary…

Quantum Physics · Physics 2018-10-05 Hao Tang , Yan-Yan Zhu , Jun Gao , Marcus Lee , Peng-Cheng Lai , Xian-Min Jin

We introduce CircuitQ, an open-source toolbox for the analysis of superconducting circuits implemented in Python. It features the automated construction of a symbolic Hamiltonian of the input circuit and a dynamic numerical representation…

Quantum Physics · Physics 2022-09-29 Philipp Aumann , Tim Menke , William D. Oliver , Wolfgang Lechner

Solving linear systems of equations is ubiquitous in all areas of science and engineering. With rapidly growing data sets, such a task can be intractable for classical computers, as the best known classical algorithms require a time…

Challenging combinatorial optimization problems are ubiquitous in science and engineering. Several quantum methods for optimization have recently been developed, in different settings including both exact and approximate solvers. Addressing…

Quantum Physics · Physics 2023-09-20 Nicolas PD Sawaya , Albert T Schmitz , Stuart Hadfield

We show that higher-dimensional versions of qubits, or qudits, can be encoded into spin systems and into harmonic oscillators, yielding important advantages for quantum computation. Whereas qubit-based quantum computation is adequate for…

Quantum Physics · Physics 2007-05-23 Stephen D. Bartlett , Hubert de Guise , Barry C. Sanders

In order to implement a quantum computing application, problem instances must be encoded into a quantum circuit and then compiled for a specific platform. The lengthy compilation process is a key bottleneck in this workflow, especially for…

Quantum Physics · Physics 2024-06-26 Nils Quetschlich , Lukas Burgholzer , Robert Wille

Simulating quantum systems is one of the most important potential applications of quantum computers. The high-level circuit defining the simulation needs to be compiled into one that complies with hardware limitations such as qubit…

Quantum Physics · Physics 2021-11-09 Lingling Lao , Dan E. Browne

Quantum computing has the potential to significantly speed up complex computational tasks, and arguably the most promising application area for near-term quantum computers is the simulation of quantum mechanics. To make the most of our…

Quantum Physics · Physics 2019-12-10 Sean A. Fischer , Daniel Gunlycke

Combinatorial optimization problems are considered to be an application, where quantum computing can have transformative impact. In the industrial context, job shop scheduling problems that aim at finding the optimal schedule for a set of…

Quantum Physics · Physics 2025-02-12 Mathias Schmid , Sarah Braun , Rudolf Sollacher , Michael J. Hartmann
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