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The Quantum Approximate Optimization Algorithm (QAOA) is a powerful tool in solving various combinatorial problems such as Maximum Satisfiability and Maximum Cut. Hard computational problems, however, require deep circuits that place high…

量子物理 · 物理学 2025-10-28 Malick A. Gaye , Omar Shehab , Paraj Titum , Gregory Quiroz

Quantum machine learning (QML) has emerged as a promising direction in the noisy intermediate-scale quantum (NISQ) era, offering computational and memory advantages by harnessing superposition and entanglement. However, QML models often…

量子物理 · 物理学 2025-07-08 Hoang-Quan Nguyen , Xuan-Bac Nguyen , Sankalp Pandey , Samee U. Khan , Ilya Safro , Khoa Luu

An enhanced framework of quantum approximate optimization algorithm (QAOA) is introduced and the parameter setting strategies are analyzed. The enhanced QAOA is as effective as the QAOA but exhibits greater computing power and flexibility,…

量子物理 · 物理学 2020-12-18 Mingyou Wu , Zhihao Liu , Hanwu Chen

The Quantum Alternating Operator Ansatz (QAOA) represents a branch of quantum algorithms for solving combinatorial optimization problems. A specific variant, the Grover-Mixer Quantum Alternating Operator Ansatz (GM-QAOA), ensures uniform…

量子物理 · 物理学 2024-05-27 Ningyi Xie , Jiahua Xu , Tiejin Chen , Xinwei Lee , Yoshiyuki Saito , Nobuyoshi Asai , Dongsheng Cai

The quantum approximate optimization algorithm~(QAOA) first proposed by Farhi et al. promises near-term applications based on its simplicity, universality, and provable optimality. A depth-p QAOA consists of p interleaved unitary…

量子物理 · 物理学 2019-05-30 Murphy Yuezhen Niu , Sirui Lu , Isaac L. Chuang

The practical implementation of quantum optimization algorithms on noisy intermediate-scale quantum devices requires accounting for their limited connectivity. As such, the Parity architecture was introduced to overcome this limitation by…

Innovation in the physical layer of communication systems has traditionally been achieved by breaking down the transceivers into sets of processing blocks, each optimized independently based on mathematical models. Conversely, deep learning…

信息论 · 计算机科学 2022-05-04 Mathieu Goutay

In the pursuit of achieving near-term quantum advantage for combinatorial optimization problems, the Quantum Approximate Optimization Algorithm (QAOA) and the Variational Quantum Eigensolver (VQE) are the primary methods of interest, but…

量子物理 · 物理学 2025-03-06 Adelina Bärligea , Benedikt Poggel , Jeanette Miriam Lorenz

The Quantum Approximate Optimization Algorithm (QAOA) is a prominent quantum algorithm designed to find approximate solutions to combinatorial optimization problems, which are challenging for classical computers. In the current era, where…

QAOA is a quantum algorithm for solving combinatorial optimization problems. It is capable of searching for the minimizing solution vector $x$ of a QUBO problem $x^TQx$. The number of two-qubit CNOT gates in the QAOA circuit scales linearly…

Quantum algorithms rely on quantum computers for implementation, but the physical connectivity constraints of modern quantum processors impede the efficient realization of quantum algorithms. Qubit mapping, a critical technology for…

量子物理 · 物理学 2025-04-24 Wenjie Sun , Xiaoyu Li , Lianhui Yu , Zhigang Wang , Geng Chen , Desheng Zheng , Guowu Yang

The quantum approximate optimization algorithm (QAOA) is a prospective near-term quantum algorithm due to its modest circuit depth and promising benchmarks. However, an external parameter optimization required in QAOA could become a…

量子物理 · 物理学 2022-01-26 Stefan H. Sack , Maksym Serbyn

In this paper, the Quantum Approximate Optimization Algorithm (QAOA) is analyzed by leveraging symmetries inherent in problem Hamiltonians. We focus on the generalized formulation of optimization problems defined on the sets of $n$-element…

量子物理 · 物理学 2024-01-23 Boris Tsvelikhovskiy , Ilya Safro , Yuri Alexeev

Variational quantum algorithms, such as the Recursive Quantum Approximate Optimization Algorithm (RQAOA), have become increasingly popular, offering promising avenues for employing Noisy Intermediate-Scale Quantum devices to address…

新兴技术 · 计算机科学 2025-06-04 Shuaiqun Pan , Yash J. Patel , Aneta Neumann , Frank Neumann , Thomas Bäck , Hao Wang

The syndrome decoding problem is known to be NP-complete. The goal of the decoder is to find an error of low weight that corresponds to a given syndrome obtained from a parity-check matrix. We use the quantum approximate optimization…

量子物理 · 物理学 2024-11-21 Ching-Yi Lai , Kao-Yueh Kuo , Bo-Jyun Liao

Variational quantum algorithms have emerged as a cornerstone of contemporary quantum algorithms research. While they have demonstrated considerable promise in solving problems of practical interest, efficiently determining the minimal…

量子物理 · 物理学 2026-02-04 Daniil Rabinovich , Andrey Kardashin , Soumik Adhikary

In this paper, we study the problem of digital pre/post-coding design in multiple-input multiple-output (MIMO) systems with 1-bit resolution per complex dimension. The optimal solution that maximizes the received signal-to-noise ratio…

信号处理 · 电气工程与系统科学 2024-06-10 Ioannis Krikidis

Quantum annealing (QA) and Quantum Alternating Operator Ansatz (QAOA) are both heuristic quantum algorithms intended for sampling optimal solutions of combinatorial optimization problems. In this article we implement a rigorous direct…

量子物理 · 物理学 2023-08-31 Elijah Pelofske , Andreas Bärtschi , Stephan Eidenbenz

We study the Quantum Approximate Optimization Algorithm (QAOA) in the context of the Max-Cut problem. Near-term (noisy) quantum devices are only able to (accurately) execute QAOA at low circuit depths while QAOA requires a relatively high…

量子物理 · 物理学 2023-08-24 Reuben Tate , Majid Farhadi , Creston Herold , Greg Mohler , Swati Gupta

The spatial diversity and multiplexing advantages of massive multi-input-multi-output (mMIMO) can significantly improve the capacity of massive non-orthogonal multiple access (NOMA) in machine type communications. However, state-of-the-art…

信号处理 · 电气工程与系统科学 2025-02-17 Yueqing Wang , Yikun Mei , Zhen Gao , Ziwei Wan , Boyu Ning , De Mi , Sami Muhaidat