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According to the Gottesman-Knill theorem, quantum algorithms which utilise only the operations belonging to a certain restricted set are efficiently simulable classically. Since some of the operations in this set generate entangled states,…

History and Philosophy of Physics · Physics 2017-03-06 Michael E. Cuffaro

Quantum computing is gaining increased attention as a potential way to speed up simulations of physical systems, and it is also of interest to apply it to simulations of classical plasmas. However, quantum information science is…

Plasma Physics · Physics 2024-06-19 I. Y. Dodin , E. A. Startsev

Quantum machine learning has established as an interdisciplinary field to overcome limitations of classical machine learning and neural networks. This is a field of research which can prove that quantum computers are able to solve problems…

Quantum Physics · Physics 2023-03-13 Meghashrita Das , Tirupati Bolisetti

The quasilinearization method (QLM) of solving nonlinear differential equations is applied to the quantum mechanics by casting the Schr\"{o}dinger equation in the nonlinear Riccati form. The method, whose mathematical basis in physics was…

Computational Physics · Physics 2007-05-23 R. Krivec , V. B. Mandelzweig

The promising performance increase offered by quantum computing has led to the idea of applying it to neural networks. Studies in this regard can be divided into two main categories: simulating quantum neural networks with the standard…

Quantum Physics · Physics 2023-07-19 Ufuk Korkmaz , Deniz Türkpençe

Quantum devices, from simple fixed-function tools to the ultimate goal of a universal quantum computer, will require high quality, frequent repetition of a small set of core operations, such as the preparation of entangled states. These…

Quantum Physics · Physics 2018-05-22 Alastair Kay

Quantum machine learning (QML) is the use of quantum computing for the computation of machine learning algorithms. With the prevalence and importance of classical data, a hybrid quantum-classical approach to QML is called for. Parameterized…

Quantum Physics · Physics 2022-10-18 Daniel T. Chang

Accurate amine property prediction is essential for optimizing CO2 capture efficiency in post-combustion processes. Quantum machine learning (QML) can enhance predictive modeling by leveraging superposition, entanglement, and interference…

Quantum Physics · Physics 2025-06-24 Hyein Cho , Jeonghoon Kim , Hocheol Lim

Variational quantum algorithms (VQAs) are promising hybrid quantum-classical methods designed to leverage the computational advantages of quantum computing while mitigating the limitations of current noisy intermediate-scale quantum (NISQ)…

Computational Engineering, Finance, and Science · Computer Science 2025-04-18 Saibal De , Oliver Knitter , Rohan Kodati , Paramsothy Jayakumar , James Stokes , Shravan Veerapaneni

Quantum algorithms manipulate the amplitudes of quantum states to find solutions to computational problems. In this work, we present a framework for applying a general class of non-linear functions to the amplitudes of quantum states, with…

Quantum Physics · Physics 2023-09-19 Arthur G. Rattew , Patrick Rebentrost

Quantum machine learning (QML) has emerged as an important area for Quantum applications, although useful QML applications would require many qubits. Therefore our paper is aimed at exploring the successful application of the Quantum…

Quantum Physics · Physics 2020-12-15 Jae-Eun Park , Brian Quanz , Steve Wood , Heather Higgins , Ray Harishankar

Hybrid quantum computing systems that combine discrete-variable qubits with continuous-variable qumodes offer promising advantages for quantum simulation, error correction, and sensing applications. However, existing quantum software…

Quantum Physics · Physics 2026-03-12 Jim Furches , Timothy J. Stavenger , Carlos Ortiz Marrero

This manuscript explores a variational quantum formulation for nonlinear elasticity problems arising from hyperelastic material models, targeting near term noisy intermediate scale quantum (NISQ) devices. The approach leverages the…

Quantum Physics · Physics 2026-05-29 Uditnarayan Kouskiya , Caglar Oskay

The hybrid quantum-classical learning scheme provides a prominent way to achieve quantum advantages on near-term quantum devices. A concrete example towards this goal is the quantum neural network (QNN), which has been developed to…

Quantum Physics · Physics 2022-05-31 Yuxuan Du , Min-Hsiu Hsieh , Tongliang Liu , Dacheng Tao

Deep learning has been shown to be able to recognize data patterns better than humans in specific circumstances or contexts. In parallel, quantum computing has demonstrated to be able to output complex wave functions with a few number of…

Quantum Physics · Physics 2021-08-05 Junhua Liu , Kwan Hui Lim , Kristin L. Wood , Wei Huang , Chu Guo , He-Liang Huang

Running Deep Neural Network (DNN) models on devices with limited computational capability is a challenge due to large compute and memory requirements. Quantized Neural Networks (QNNs) have emerged as a potential solution to this problem,…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Yaman Umuroglu , Magnus Jahre

Power flow calculation plays an important role in planning, operation, and control of the power system. The quantum HHL algorithm can achieve theoretical exponential speedup over classical algorithms on DC power flow calculation. Since the…

Quantum Physics · Physics 2022-06-09 Fang Gao , Guojian Wu , Suhang Guo , Wei Dai , Feng Shuang

In an extension of the Unconventional Noiseless Intermediate Quantum Emulator, this work introduces a classical emulation of the quantum Harrow-Hassidim-Lloyd algorithm for sampling from the solution space of linear systems. The emulated…

Quantum Physics · Physics 2026-04-29 Reece Robertson , Ameya Bhave

Implementing polynomial functions of Hermitian matrices on quantum hardware is a foundational task in quantum computing, critical for accurate Hamiltonian simulation, quantum linear system solving, high-fidelity state preparation, machine…

Leveraging quantum properties to enhance complex learning tasks has been proven feasible, with excellent recent achievements in the field of unsupervised learning. However, current quantum schemes neglect adaptive adjustments for…

Quantum Physics · Physics 2024-08-23 Lian-Hui Yu , Xiao-Yu Li , Geng Chen , Qin-Sheng Zhu , Hui Li , Guo-Wu Yang