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Automatic Differentiation (AD) is a powerful tool that allows calculating derivatives of implemented algorithms with respect to all of their parameters up to machine precision, without the need to explicitly add any additional functions.…

Chemical Physics · Physics 2020-06-23 Teresa Tamayo-Mendoza , Christoph Kreisbeck , Roland Lindh , Alán Aspuru-Guzik

Automatic differentiation is a tool for numerically calculating derivatives of a given function up to machine precision. This tool is useful for quantum chemistry methods, which require the calculation of gradients either for the…

Chemical Physics · Physics 2020-11-25 Fabijan Pavošević , Sharon Hammes-Schiffer

We introduce an extension to the PySCF package which makes it automatically differentiable. The implementation strategy is discussed, and example applications are presented to demonstrate the automatic differentiation framework for quantum…

Chemical Physics · Physics 2024-06-19 Xing Zhang , Garnet Kin-Lic Chan

Distributed quantum computing (DQC) is a promising proposal for overcoming the scalability challenges of quantum computing. However, the evaluation of DQC hardware and software is difficult due to the relative dearth of classical simulation…

Quantum Physics · Physics 2026-04-16 Kenny Campbell

Variational Quantum Circuits (VQCs), or the so-called quantum neural-networks, are predicted to be one of the most important near-term quantum applications, not only because of their similar promises as classical neural-networks, but also…

Programming Languages · Computer Science 2020-04-03 Shaopeng Zhu , Shih-Han Hung , Shouvanik Chakrabarti , Xiaodi Wu

Quantum computing, an innovative computing system carrying prominent processing rate, is meant to be the solutions to problems in many fields. Among these realms, the most intuitive application is to help chemical researchers correctly…

Quantum Physics · Physics 2022-12-29 Qingchun Wang , Huan-Yu Liu , Qing-Song Li , Jianyu Zhao , Qiankun Gong , Ye Li , Yu-Chun Wu , Guo-Ping Guo

Derivatives play a critical role in computational statistics, examples being Bayesian inference using Hamiltonian Monte Carlo sampling and the training of neural networks. Automatic differentiation is a powerful tool to automate the…

Mathematical Software · Computer Science 2019-03-27 Charles C. Margossian

Differentiable quantum dynamics require automatic differentiation of a complex-valued initial value problem, which numerically integrates a system of ordinary differential equations from a specified initial condition, as well as the…

Digital-analog quantum computing (DAQC) is an alternative paradigm for universal quantum computation combining digital single-qubit gates with global analog operations acting on a register of interacting qubits. Currently, no available…

Computing accurate yet efficient approximations to the solutions of the electronic Schr\"odinger equation has been a paramount challenge of computational chemistry for decades. Quantum Monte Carlo methods are a promising avenue of…

Chemical Physics · Physics 2023-09-25 Zeno Schätzle , Bernát Szabó , Matĕj Mezera , Jan Hermann , Frank Noé

We propose a quantum algorithm to solve systems of nonlinear differential equations. Using a quantum feature map encoding, we define functions as expectation values of parametrized quantum circuits. We use automatic differentiation to…

Quantum Physics · Physics 2021-05-20 Oleksandr Kyriienko , Annie E. Paine , Vincent E. Elfving

Differentiable programming, enabled by automatic differentiation (AD), provides a robust framework for gradient-based optimization in computational plasma physics. While optimization is often only used towards design, we demonstrate that it…

Plasma Physics · Physics 2026-03-13 A. S. Joglekar , A. G. R. Thomas , A. L. Milder , K. G. Miller , J. P. Palastro , D. H. Froula

While the ability to build quantum computers is improving dramatically, developing quantum algorithms is limited and relies on human insight and ingenuity. Although a number of quantum programming languages have been developed, it is…

Software Engineering · Computer Science 2022-10-07 Kentaro Murakami , Jianjun Zhao

Quantum materials exhibit a wide array of exotic phenomena and practically useful properties. A better understanding of these materials can provide deeper insights into fundamental physics in the quantum realm as well as advance technology…

Artificial intelligence has recently experienced remarkable advances, fueled by large models, vast datasets, accelerated hardware, and, last but not least, the transformative power of differentiable programming. This new programming…

Machine Learning · Computer Science 2025-06-25 Mathieu Blondel , Vincent Roulet

We present a framework for differentiable quantum transforms. Such transforms are metaprograms capable of manipulating quantum programs in a way that preserves their differentiability. We highlight their potential with a set of relevant…

Differentiable programming is the combination of classical neural networks modules with algorithmic ones in an end-to-end differentiable model. These new models, that use automatic differentiation to calculate gradients, have new learning…

Dynamical Systems · Mathematics 2020-05-05 Adrián Hernández , José M. Amigó

Quantum computers have been proposed as a solution for efficiently solving non-linear differential equations (DEs), a fundamental task across diverse technological and scientific domains. However, a crucial milestone in this regard is to…

Quantum Physics · Physics 2025-03-31 Annie Paine , Casper Gyurik , Antonio Andrea Gentile

Distributed quantum computing (DQC) provides a way to scale quantum computers using multiple quantum processing units (QPU) connected through quantum communication links. In this paper, we have built a distributed quantum computing…

Quantum Physics · Physics 2025-03-26 Sreraman Muralidharan

Quantum computing exhibits the unique capability to natively and efficiently encode various natural phenomena, promising theoretical speedups of several orders of magnitude. However, not all computational tasks can be efficiently executed…

Software Engineering · Computer Science 2025-04-28 Vincenzo De Maio , Ivona Brandic , Ewa Deelman , Jürgen Cito
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