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In this paper, we consider an LQR design problem for distributed control systems. For large-scale distributed systems, finding a solution might be computationally demanding due to communications among agents. To this aim, we deal with LQR…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-02 Myung Cho

Solving combinatorial optimization problems efficiently through emerging hardware by converting the problem to its equivalent Ising model and obtaining its ground state is known as Ising computing. Phase-binarized oscillators (PBO), modeled…

The availability of quantum annealing devices with hundreds of qubits has made the experimental demonstration of a quantum speedup for optimization problems a coveted, albeit elusive goal. Going beyond earlier studies of random Ising…

Quantum Physics · Physics 2015-11-03 Itay Hen , Joshua Job , Tameem Albash , Troels F. Rønnow , Matthias Troyer , Daniel Lidar

In this paper, we present the RISE-SLAM algorithm for performing visual-inertial simultaneous localization and mapping (SLAM), while improving estimation consistency. Specifically, in order to achieve real-time operation, existing…

Robotics · Computer Science 2020-11-25 Tong Ke , Kejian J. Wu , Stergios I. Roumeliotis

In this paper, we analyze the convergence %semi-convergence properties of projected non-stationary block iterative methods (P-BIM) aiming to find a constrained solution to large linear, usually both noisy and ill-conditioned, systems of…

Numerical Analysis · Mathematics 2022-02-11 Mahdi Mirzapour , Andrzej Cegielski , Tommy Elfving

While quantum computers assume existence of state preparation process $|0\rangle$, CPT symmetry of physics says that performing such process in CPT symmetry perspective, e.g. reversing used EM impulses ($V(t)\to V(-t)$), we should get its…

General Physics · Physics 2024-08-13 Jarek Duda

Hard combinatorial optimization problems, often mapped to Ising models, promise potential solutions with quantum advantage but are constrained by limited qubit counts in near-term devices. We present an innovative quantum-inspired framework…

Quantum Physics · Physics 2024-12-25 Co Tran , Quoc-Bao Tran , Hy Truong Son , Thang N Dinh

Establishing quantum advantage for variational quantum algorithms is an important direction in quantum computing. In this work, we apply the Quantum Approximate Optimisation Algorithm (QAOA) -- a popular variational quantum algorithm for…

Quantum Physics · Physics 2024-01-08 Andrew El-Kadi , Roberto Bondesan

Recently, Dunjko et al.(PRL, 2018) proposed an algorithm for accelerating the solution of 3-satisfiability problems using a small-scale quantum computer. In this paper, we design a distributed quantum-classical hybrid algorithm for solving…

Quantum Physics · Physics 2026-04-16 Huaijing Huang , Daowen Qiu , Le Luo , Paulo Mateus

Energy minimization of Ising spin-glasses has played a central role in statistical and solid-state physics, facilitating studies of phase transitions and magnetism. Recent proposals suggest using Ising spin-glasses for non-traditional…

Quantum Physics · Physics 2013-06-20 Hector J. Garcia , Igor L. Markov

Engineering quantum devices requires reliable characterization of the quantum system, including qubits, quantum operations (also known as instruments) and the quantum noise. Recently, quantum gate set tomography (GST) has emerged as a…

Quantum Physics · Physics 2024-04-16 Ze-Tong Li , Cong-Cong Zheng , Fan-Xu Meng , Han Zeng , Tian Luan , Zai-Chen Zhang , Xu-Tao Yu

The existing methods for reconfigurable intelligent surface (RIS) beamforming in wireless communications are typically limited to uniform phase quantization. However, in practical applications, engineering challenges and design requirements…

Information Theory · Computer Science 2025-02-12 Jialong Lu , Rujing Xiong , Tiebin Mi , Ke Yin , Robert Caiming Qiu

We present a quantum adiabatic algorithm for a set of quantum 2-satisfiability (Q2SAT) problem, which is a generalization of 2-satisfiability (2SAT) problem. For a Q2SAT problem, we construct the Hamiltonian which is similar to that of a…

Quantum Physics · Physics 2021-02-08 Yanglin Hu , Zhelun Zhang , Biao Wu

As quantum computers scale toward millions of physical qubits, it becomes essential to robustly encode individual logical qubits to ensure fault tolerance under realistic noise. A high-quality foundational encoding allows future compilation…

In this paper, we introduce stochastic simulated quantum annealing (SSQA) for large-scale combinatorial optimization problems. SSQA is designed based on stochastic computing and quantum Monte Carlo, which can simulate quantum annealing (QA)…

Quantum Physics · Physics 2024-07-25 Naoya Onizawa , Ryoma Sasaki , Duckgyu Shin , Warren J. Gross , Takahiro Hanyu

The coherent Ising machine (CIM) is a quantum-inspired computing platform that leverages optical parametric oscillation dynamics to solve combinatorial optimization problems by searching for the ground state of an Ising Hamiltonian.…

Quantum Physics · Physics 2025-09-18 Yan Chen Jiang , Lu Ma , Chuan Wang , Tie Jun Wang

Quantum computers promise a qualitative speedup in solving a broad spectrum of practical optimization problems. The latter can be mapped onto the task of finding low-energy states of spin glasses, which is known to be exceedingly difficult.…

Disordered Systems and Neural Networks · Physics 2024-12-31 Hao Zhang , Kelly Boothby , Alex Kamenev

Several continuous dynamical systems have recently been proposed as special-purpose analog computers designed to solve combinatorial optimization problems such as $k$-SAT or the Ising problem. While combinatorial optimization problems are…

Chaotic Dynamics · Physics 2025-06-17 Clemens Gneiting , Farad Khoyratee , Enrico Rinaldi , Khyati Jain , Rishab Khincha , Franco Nori

In this work we develop theoretical techniques for analysing the performance of the quantum approximate optimization algorithm (QAOA) when applied to random boolean constraint satisfaction problems (CSPs), and use these techniques to…

Quantum Physics · Physics 2024-11-27 Sami Boulebnane , Maria Ciudad-Alañón , Lana Mineh , Ashley Montanaro , Niam Vaishnav

Classical satisfiability (SAT) and quantum satisfiability (QSAT) are complete problems for the complexity classes NP and QMA which are believed to be intractable for classical and quantum computers, respectively. Statistical ensembles of…

Quantum Physics · Physics 2015-10-07 Ionut-Dragos Potirniche , C. R. Laumann , S. L. Sondhi