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The Quantum Approximate Optimization Algorithm (QAOA) has shown promise in solving combinatorial optimization problems by leveraging quantum computational power. We propose a simple approach, the Two-Step QAOA, which aims to improve the…

Quantum Physics · Physics 2025-02-25 Yuichiro Minato

The quantum approximate optimization algorithm (QAOA) is a promising method for solving certain classical combinatorial optimization problems on near-term quantum devices. When employing the QAOA to 3-SAT and Max-3-SAT problems, the quantum…

Quantum Physics · Physics 2023-06-07 Yunlong Yu , Chenfeng Cao , Xiang-Bin Wang , Nic Shannon , Robert Joynt

The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method to obtain approximate solutions for combinatorial optimization tasks. In this work, we study the underlying algebraic properties of three QAOA ans\"atze for…

Quantum Physics · Physics 2025-11-27 Sujay Kazi , Martín Larocca , Marco Farinati , Patrick J. Coles , M. Cerezo , Robert Zeier

Quantum Annealing (QA) uses quantum fluctuations to search for a global minimum of an optimization-type problem faster than classical computers. To meet the demand for future internet traffic and mitigate the spectrum scarcity, this work…

Information Theory · Computer Science 2023-01-11 Eldar Gabdulsattarov , Khaled Rabie , Xingwang Li , Galymzhan Nauryzbayev

Quantum annealing approximately solves combinatorial optimization problems by leveraging the principles of adiabatic quantum systems. In this approach, the system's Hamiltonian evolves from an initial general state to a problem-specific…

Quantum Approximate Optimization Algorithm (QAOA) is studied primarily to find approximate solutions to combinatorial optimization problems. For a graph with $n$ vertices and $m$ edges, a depth $p$ QAOA for the Max-cut problem requires…

The Quantum Approximate Optimisation Algorithm (QAOA) is a widely studied quantum-classical iterative heuristic for combinatorial optimisation. While QAOA targets problems in complexity class NP, the classical optimisation procedure…

Quantum Physics · Physics 2025-11-12 Tom Krüger , Wolfgang Mauerer

The quantum approximate optimization algorithm (QAOA) is designed to determine optimum and near optimum solutions of quadratic (and higher order) unconstrained binary optimization (QUBO or HUBO) problems, which in turn accurately model…

Quantum Physics · Physics 2025-03-18 Prashanti Priya Angara , Danylo Lykov , Ulrike Stege , Yuri Alexeev , Hausi Müller

Current hardware limitations restrict the potential when solving quadratic unconstrained binary optimization (QUBO) problems via the quantum approximate optimization algorithm (QAOA) or quantum annealing (QA). Thus, we consider training…

Quantum Physics · Physics 2020-04-30 Thomas Gabor , Sebastian Feld , Hila Safi , Thomy Phan , Claudia Linnhoff-Popien

Quantum Approximate Optimization Algorithm (QAOA) is one of the most promising quantum heuristics for combinatorial optimization. While QAOA has been shown to perform well on small-scale instances and to provide an asymptotic speedup over…

Combinatorial optimization lies at the heart of numerous real-world applications. For a broad category of optimization problems, quantum computing is expected to exhibit quantum speed-up over classic computing. Among various quantum…

Quantum Physics · Physics 2025-09-23 Zixu Wang , Jack Mandell , Yangyang Xu , Jian Shi

Quantum Approximate Optimization Algorithm (QAOA) is a promising hybrid quantum-classical algorithm for solving combinatorial optimization problems. However, it cannot overcome qubit limitation for large-scale problems. Furthermore, the…

Emerging Technologies · Computer Science 2021-03-01 Junde Li , Mahabubul Alam , Swaroop Ghosh

As power systems expand, solving the Unit Commitment Problem (UCP) becomes increasingly challenging due to the dimensional catastrophe, and traditional methods often struggle to balance computational efficiency and solution quality. To…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Jingxian Zhou , Ziqing Zhu , Linghua Zhu , Siqi Bu

We propose and study Th-QAOA (pronounced Threshold QAOA), a variation of the Quantum Alternating Operator Ansatz (QAOA) that replaces the standard phase separator operator, which encodes the objective function, with a threshold function…

Quantum Physics · Physics 2022-06-06 John Golden , Andreas Bärtschi , Daniel O'Malley , Stephan Eidenbenz

Portfolio optimization is a primary component of the decision-making process in finance, aiming to tactfully allocate assets to achieve optimal returns while considering various constraints. Herein, we proposed a method that uses the…

Quantum Physics · Physics 2024-12-24 Chansreynich Huot , Kimleang Kea , Tae-Kyung Kim , Youngsun Han

Multiple-input multiple-output (MIMO) is critical for 6G communication, offering improved spectral efficiency and reliability. However, conventional fully digital designs face significant challenges due to high hardware complexity and power…

Emerging Technologies · Computer Science 2025-10-21 Nikos A Mitsiou , Ioannis Krikidis , George K Karagiannidis

We propose GM-QAOA, a variation of the Quantum Alternating Operator Ansatz (QAOA) that uses Grover-like selective phase shift mixing operators. GM-QAOA works on any NP optimization problem for which it is possible to efficiently prepare an…

Quantum Physics · Physics 2021-07-02 Andreas Bärtschi , Stephan Eidenbenz

Many quantum algorithms seek to output a specific bitstring solving the problem of interest--or a few if the solution is degenerate. It is the case for the quantum approximate optimization algorithm (QAOA) in the limit of large circuit…

Quantum Physics · Physics 2022-08-23 Maxime Dupont , Nicolas Didier , Mark J. Hodson , Joel E. Moore , Matthew J. Reagor

Quantum computing holds promise for outperforming classical computing in specialized applications such as optimization. With current Noisy Intermediate Scale Quantum (NISQ) devices, only variational quantum algorithms like the Quantum…

Quantum Physics · Physics 2024-07-08 Daniel Müssig , Markus Wappler , Steve Lenk , Jörg Lässig

The quantum approximate optimization algorithm (QAOA) is a variational quantum algorithm (VQA) ideal for noisy intermediate-scale quantum (NISQ) processors, and is highly successful in solving combinatorial optimization problems (COPs). It…

Quantum Physics · Physics 2026-03-23 Francesco Aldo Venturelli , Sreetama Das , Filippo Caruso