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Quantum computers promise to solve several categories of problems faster than classical computers ever could. Current research mostly focuses on qubits, i.e., systems where the unit of information can assume only two levels. However, the…

量子物理 · 物理学 2023-08-25 Kevin Mato , Stefan Hillmich , Robert Wille

High-performance computing systems are rapidly evolving into heterogeneous platforms that fuse quantum accelerators with traditional classical processing units (CPUs) and graphical processing units (GPUs). This convergence calls for…

In the NISQ (Noisy intermediate-scale quantum) area, Quantum computers can be utilized for deep learning by treating variational quantum circuits as neural network models. This can be achieved by first encoding the input data onto quantum…

高能物理 - 唯象学 · 物理学 2023-11-29 A. Hammad , Kyoungchul Kong , Myeonghun Park , Soyoung Shim

Quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to Quadratic Unconstrained Binary Optimization (QUBO) problems. However, the…

Demonstrating quantum advantage has been a pressing challenge in the field. Most claimed quantum speedups rely on a subroutine in which classical information can be accessed in a coherent quantum manner, which imposes a crucial constraint…

量子物理 · 物理学 2025-11-04 Nhat A. Nghiem

AI methods, such as generative models and reinforcement learning, have recently been applied to combinatorial optimization (CO) problems, especially NP-hard ones. This paper compares such GPU-based methods with classical CPU-based methods…

机器学习 · 计算机科学 2026-04-28 Yikai Wu , Haoyu Zhao , Sanjeev Arora

The recent advent of commercially available quantum annealing hardware (QAH) has expanded opportunities for research into quantum annealing-based algorithms. In the domain of power systems, this advancement has driven increased interest in…

最优化与控制 · 数学 2025-03-26 Rosemary Barrass , Harsha Nagarajan , Carleton Coffrin

Integer programming (IP) is an NP-hard combinatorial optimization problem that is widely used to represent a diverse set of real-world problems spanning multiple fields, such as finance, engineering, logistics, and operations research. It…

量子物理 · 物理学 2025-08-20 Kapil Goswami , Peter Schmelcher , Rick Mukherjee

In order to exploit quantum advantages, quantum algorithms are indispensable for operating machine learning with quantum computers. We here propose an intriguing hybrid approach of quantum information processing for quantum linear…

量子物理 · 物理学 2019-01-23 Dan-Bo Zhang , Zheng-Yuan Xue , Shi-Liang Zhu , Z. D. Wang

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

量子物理 · 物理学 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

We present a scalable architecture for solving higher-order constrained binary optimization problems on current neutral-atom hardware operating in the Rydberg blockade regime. In particular, we formulate the recently developed parity…

量子物理 · 物理学 2023-06-06 Martin Lanthaler , Clemens Dlaska , Kilian Ender , Wolfgang Lechner

We propose a numerical approach to design highly efficient adiabatic schedules for analog quantum computing, focusing on the maximum-independent-set problem and neutral atom platforms. On the basis of a representative dataset of small…

量子物理 · 物理学 2025-06-13 Sébastien Perseguers

We investigate fully self-consistent multiscale quantum-classical algorithms on current generation superconducting quantum computers, in a unified approach to tackle the correlated electronic structure of large systems in both quantum…

During recent years, quantum computers have received increasing attention, primarily due to their ability to significantly increase computational performance for specific problems. Computational performance could be improved for…

量子物理 · 物理学 2024-11-12 Ludger Leenders , Martin Sollich , Christiane Reinert , André Bardow

Recent progress in quantum computing and quantum simulation of many-body systems with arrays of neutral atoms using Rydberg excitation has provided unforeseen opportunities towards computational advantage in solving various optimization…

量子物理 · 物理学 2024-08-29 Ahmed M. Farouk , I. I. Beterov , Peng Xu , I. I. Ryabtsev

Quantum computing holds great promise for surpassing the limits of classical devices in many fields. Despite impressive developments, however, current research is primarily focused on qubits. At the same time, quantum hardware based on…

量子物理 · 物理学 2024-10-07 Kevin Mato , Martin Ringbauer , Lukas Burgholzer , Robert Wille

In this study, we utilized the quantum flow (QFlow) method to perform quantum simulations of correlated systems. The QFlow approach allows for sampling large sub-spaces of the Hilbert space by solving coupled variational problems in reduced…

量子物理 · 物理学 2024-10-17 Karol Kowalski , Nicholas P. Bauman

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…

数值分析 · 数学 2025-09-16 Yuxin Huang , Benjamin E. Grossman-Ponemon , David A. B. Hyde

Classical optimization problems can be solved by adiabatically preparing the ground state of a quantum Hamiltonian that encodes the problem. The performance of this approach is determined by the smallest gap encountered during the…

Platforms of Rydberg atoms have been proposed as promising candidates to solve some combinatorial optimization problems. Here, we compute quantitative requirements on the system sizes and noise levels that these platforms must fulfill to…

量子物理 · 物理学 2021-07-27 Michel Fabrice Serret , Bertrand Marchand , Thomas Ayral