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Solving combinatorial optimization problems on near-term quantum devices has gained a lot of attraction in recent years. Currently, most works have focused on single-objective problems, whereas many real-world applications need to consider…

Quantum Physics · Physics 2025-06-06 Linus Ekstrom , Hao Wang , Sebastian Schmitt

The quantum approximate optimization algorithm (QAOA) applies two Hamiltonians to a quantum system in alternation. The original goal of the algorithm was to drive the system close to the ground state of one of the Hamiltonians. This paper…

Quantum Physics · Physics 2018-12-31 Seth Lloyd

The Quantum Approximate Optimisation Algorithm is a $p$ layer, time-variable split operator method executed on a quantum processor and driven to convergence by classical outer loop optimisation. The classical co-processor varies individual…

Quantum Physics · Physics 2022-07-28 D. Rabinovich , R. Sengupta , E. Campos , V. Akshay , J. Biamonte

The LogQ algorithm encodes Quadratic Unconstrained Binary Optimization (QUBO) problems, which are often encountered in the industry (portfolio optimization, fleet optimization, charging stations, etc.). It was developed within the framework…

Optimization and Control · Mathematics 2026-04-15 Jérémie Messud , Yagnik Chatterjee

Data detection in large-scale multiple-input multiple-output (MIMO) systems with higher-order quadrature amplitude modulation (QAM) remains a challenging problem due to the exponential complexity of the classical maximum likelihood (ML)…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Soumyadip Paul , Sourav Banerjee , Debanjan Bhowmik , Neel Kanth Kundu

Combinatorial optimization is among the main applications envisioned for near-term and fault-tolerant quantum computers. In this work, we consider a well-studied quantum algorithm for combinatorial optimization: the Quantum Approximate…

Quantum Physics · Physics 2020-11-12 Sami Boulebnane

In the rapidly advancing domain of quantum optimization, the confluence of quantum algorithms such as Quantum Annealing (QA) and the Quantum Approximate Optimization Algorithm (QAOA) with robust optimization methodologies presents a…

Quantum Physics · Physics 2024-05-14 Pascal Halffmann , Steve Lenk , Michael Trebing

The Quantum Approximate Optimisation Algorithm (QAOA) is a hybrid quantum-classical algorithm for solving combinatorial optimisation problems. QAOA encodes solutions into the ground state of a Hamiltonian, approximated by a $p$-level…

Quantum Physics · Physics 2025-05-16 V Vijendran , Dax Enshan Koh , Eunok Bae , Hyukjoon Kwon , Ping Koy Lam , Syed M Assad

Quantum computing has the potential to surpass the capabilities of current classical computers when solving complex problems. Combinatorial optimization has emerged as one of the key target areas for quantum computers as problems found in…

Quantum Physics · Physics 2023-07-27 Juan Giraldo , José Ossorio , Norha M. Villegas , Gabriel Tamura , Ulrike Stege

Quantum Approximate Optimization Algorithm (QAOA) can be used to solve quadratic unconstrained binary optimization (QUBO) problems. However, the size of the solvable problem is limited by the number of qubits. To leverage noisy…

Quantum Physics · Physics 2025-06-10 Wending Zhao , Gaoxiang Tang

Quantum computers are increasing in size and quality, but are still very noisy. Error mitigation extends the size of the quantum circuits that noisy devices can meaningfully execute. However, state-of-the-art error mitigation methods are…

Quantum Physics · Physics 2024-03-25 Stefan H. Sack , Daniel J. Egger

Quantum devices use qubits to represent information, which allows them to exploit important properties from quantum physics, specifically superposition and entanglement. As a result, quantum computers have the potential to outperform the…

Quantum Physics · Physics 2024-02-14 Abhijeet Ghoshal , Yan Li , Syam Menon , Sumit Sarkar

NP-hard problems are not believed to be exactly solvable through general polynomial time algorithms. Hybrid quantum-classical algorithms to address such combinatorial problems have been of great interest in the past few years. Such…

Quantum Physics · Physics 2024-01-15 Yagnik Chatterjee , Eric Bourreau , Marko J. Rančić

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

In recent years, quantum computing has drawn significant interest within the field of high-energy physics. We explore the potential of quantum algorithms to resolve the combinatorial problems in particle physics experiments. As a concrete…

High Energy Physics - Phenomenology · Physics 2024-11-12 Jacob L. Scott , Zhongtian Dong , Taejoon Kim , Kyoungchul Kong , Myeonghun Park

Analytical and practical evidence indicates the advantage of quantum computing solutions over classical alternatives. Quantum-based heuristics relying on the variational quantum eigensolver (VQE) and the quantum approximate optimization…

Quantum Physics · Physics 2023-01-05 Sarthak Gupta , Vassilis Kekatos

Hadfield et al. proposed a novel Quantum Alternating Operator Ansatz algorithm (QAOA+), and this algorithm has wide applications in solving constrained combinatorial optimization problems (CCOPs) because of the advantages of QAOA+ ansatz in…

Quantum Physics · Physics 2025-04-09 Xiao-Hui Ni , Ling-Xiao Li , Yan-Qi Song , Zheng-Ping Jin , Su-Juan Qin , Fei Gao

Leveraging quantum computers for optimization problems holds promise across various application domains. Nevertheless, utilizing respective quantum computing solvers requires describing the optimization problem according to the Quadratic…

Quantum Physics · Physics 2025-10-15 Deborah Volpe , Nils Quetschlich , Mariagrazia Graziano , Giovanna Turvani , Robert Wille

Accurate financial volatility forecasting is crucial but challenged by the non-linear, highly correlated nature of market data. Recently, quantum computing has emerged as a promising paradigm for solving complex high-dimensional sampling…

Machine Learning · Computer Science 2026-05-07 Yixiong Chen

The digital transformation that Telecommunications and ICT domains are crossing today, is posing several new challenges to Telecom Operators. These challenges require solving complex problems such as: dimensioning and scheduling of…

Quantum Physics · Physics 2022-05-04 Michele Amoretti , Davide Ferrari , Antonio Manzalini
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