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We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

Solving discretized versions of the Dirac equation represents a large share of execution time in lattice Quantum Chromodynamics (QCD) simulations. Many high-performance computing (HPC) clusters use graphics processing units (GPUs) to offer…

High Energy Physics - Lattice · Physics 2024-07-02 Tilmann Matthaei

This paper proposes a new method for differentiating through optimal trajectories arising from non-convex, constrained discrete-time optimal control (COC) problems using the implicit function theorem (IFT). Previous works solve a…

Machine Learning · Computer Science 2023-10-25 Ming Xu , Timothy Molloy , Stephen Gould

We introduce two block coordinate descent algorithms for solving optimization problems with ordinary differential equations (ODEs) as dynamical constraints. The algorithms do not need to implement direct or adjoint sensitivity analysis…

Machine Learning · Computer Science 2022-08-30 Ion Matei , Maksym Zhenirovskyy , Johan de Kleer , John Maxwell

Quantum reservoir computing (QRC) offers a promising framework for online quantum-enhanced machine learning tailored to temporal tasks, yet practical implementations with native memory capabilities remain limited. Here, we demonstrate an…

Recent advances in quantum computing and machine learning have given rise to quantum machine learning (QML), with growing interest in learning from sequential data. Quantum recurrent models like QLSTM are promising for time-series…

Machine Learning · Computer Science 2025-08-22 Samuel Yen-Chi Chen , Prayag Tiwari

Programming a quantum device describes the usage of quantum logic gates, agnostic of hardware specifics, to perform a sequence of operations with (typically) a computing or sensing task in mind. Such programs have been executed on digital…

Quantum Optimal Control (QOC) is the field devoted to the production of external control protocols that actively guide quantum dynamics. Solutions to QOC problems were shown to constitute continuous submanifolds of control space. A solution…

Quantum Physics · Physics 2020-09-23 Martin Larocca , Esteban A. Calzetta , Diego A. Wisniacki

Distributed Quantum Computing (DQC) enables scalability by interconnecting multiple QPUs. Among various DQC implementations, quantum data centers (QDCs), which utilize reconfigurable optical switch networks to link QPUs across different…

As industrial models and designs grow increasingly complex, the demand for optimal control of large-scale dynamical systems has significantly increased. However, traditional methods for optimal control incur significant overhead as problem…

Quantum Physics · Physics 2024-11-05 Connor Clayton , Jiaqi Leng , Gengzhi Yang , Yi-Ling Qiao , Ming C. Lin , Xiaodi Wu

Control of the stochastic dynamics of a quantum system is indispensable in fields such as quantum information processing and metrology. However, there is no general ready-made approach to the design of efficient control strategies. Here, we…

Quantum Physics · Physics 2021-04-26 Frank Schäfer , Pavel Sekatski , Martin Koppenhöfer , Christoph Bruder , Michal Kloc

Iterative optimization algorithms depend on access to information about the objective function. In a differentiable programming framework, this information, such as gradients, can be automatically derived from the computational graph. We…

Optimization and Control · Mathematics 2025-07-08 Vincent Roulet , Siddhartha Srinivasa , Maryam Fazel , Zaid Harchaoui

Second-order cone programs (SOCPs) with quadratic objective functions are common in optimal control and other fields. Most SOCP solvers which use interior-point methods are designed for linear objectives and convert quadratic objectives…

Optimization and Control · Mathematics 2026-04-01 Govind M Chari , Behçet Açikmeşe

Quantum optimization as a field has largely been restricted by the constraints of current quantum computing hardware, as limitations on size, performance, and fidelity mean most non-trivial problem instances won't fit on quantum devices.…

Quantum Physics · Physics 2024-05-03 Ibrahim Cameron , Teague Tomesh , Zain Saleem , Ilya Safro

The simulation of quantum dynamics on a digital quantum computer with parameterized circuits has widespread applications in fundamental and applied physics and chemistry. In this context, using the hybrid quantum-classical algorithm,…

Quantum Physics · Physics 2023-07-19 Tangyou Huang , Yongcheng Ding , Léonce Dupays , Yue Ban , Man-Hong Yung , Adolfo del Campo , Xi Chen

Quantum computing is a promising paradigm for efficiently solving large and high-complexity problems. To protect quantum computing privacy, pioneering research efforts proposed to redefine differential privacy (DP) in quantum computing,…

Quantum Physics · Physics 2023-12-25 Hui Zhong , Keyi Ju , Manojna Sistla , Xinyue Zhang , Xiaoqi Qin , Xin Fu , Miao Pan

Quantum machines are among the most promising technologies expected to provide significant improvements in the following years. However, bridging the gap between real-world applications and their implementation on quantum hardware is still…

Quantum variational algorithms have garnered significant interest recently, due to their feasibility of being implemented and tested on noisy intermediate scale quantum (NISQ) devices. We examine the robustness of the quantum approximate…

Quantum Physics · Physics 2019-11-05 Yulong Dong , Xiang Meng , Lin Lin , Robert Kosut , K. Birgitta Whaley

As quantum computing technology advances, the complexity of quantum algorithms increases, necessitating a shift from low-level circuit descriptions to high-level programming paradigms. This paper addresses the challenges of developing a…

Quantum Physics · Physics 2025-03-04 Israel Reichental , Ravid Alon , Lior Preminger , Matan Vax , Amir Naveh

Current fault-tolerant quantum computer (FTQC) architectures utilize several encoding techniques to enable reliable logical operations with restricted qubit connectivity. However, such logical operations demand additional memory overhead to…

Quantum Physics · Physics 2025-04-15 Takumi Kobori , Yasunari Suzuki , Yosuke Ueno , Teruo Tanimoto , Synge Todo , Yuuki Tokunaga