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Vehicle Routing Problem (VRP) is one of the most complex NP-hard combinatorial optimization problem in transportation and logistics that requires a dynamic solution approach. In this paper we present a new hybrid approach that combines the…

Quantum computing exploits basic quantum phenomena such as state superposition and entanglement to perform computations. The Quantum Approximate Optimization Algorithm (QAOA) is arguably one of the leading quantum algorithms that can…

Machine Learning · Computer Science 2022-06-16 Sami Khairy , Ruslan Shaydulin , Lukasz Cincio , Yuri Alexeev , Prasanna Balaprakash

In this work, we review quantum approaches to combinatorial optimization, with the aim of bridging theoretical developments and industrial relevance. We first survey the main families of quantum algorithms, including Quantum Annealing, the…

Quantum Physics · Physics 2026-03-20 Hala Hawashin , Deep Nath , Marco Alberto Javarone

This paper presents a Quantum Reinforcement Learning (QRL) solution to the dynamic portfolio optimization problem based on Variational Quantum Circuits. The implemented QRL approaches are quantum analogues of the classical…

Machine Learning · Computer Science 2026-01-29 Vincent Gurgul , Ying Chen , Stefan Lessmann

Recent advancements in quantum computing (QC) and machine learning (ML) have sparked considerable interest in the integration of these two cutting-edge fields. Among the various ML techniques, reinforcement learning (RL) stands out for its…

Quantum Physics · Physics 2024-09-10 Samuel Yen-Chi Chen

Quantum Reinforcement Learning (QRL) offers potential advantages over classical Reinforcement Learning, such as compact state space representation and faster convergence in certain scenarios. However, practical benefits require further…

Quantum Physics · Physics 2024-08-05 Michael Kölle , Daniel Seidl , Maximilian Zorn , Philipp Altmann , Jonas Stein , Thomas Gabor

Identifying optimal join orders (JOs) stands out as a key challenge in database research and engineering. Owing to the large search space, established classical methods rely on approximations and heuristics. Recent efforts have successfully…

Quantum Physics · Physics 2025-02-24 Maja Franz , Tobias Winker , Sven Groppe , Wolfgang Mauerer

Quantum computing is a computational paradigm with the potential to outperform classical methods for a variety of problems. Proposed recently, the Quantum Approximate Optimization Algorithm (QAOA) is considered as one of the leading…

Machine Learning · Computer Science 2022-06-16 Sami Khairy , Ruslan Shaydulin , Lukasz Cincio , Yuri Alexeev , Prasanna Balaprakash

Reinforcement learning (RL) enables agents to learn optimal policies through environmental interaction. However, RL suffers from reduced learning efficiency due to the curse of dimensionality in high-dimensional spaces. Quantum…

Machine Learning · Computer Science 2025-07-02 Seok Bin Son , Joongheon Kim

Quadratic Unconstrained Binary Optimization (QUBO) is a generic technique to model various NP-hard combinatorial optimization problems in the form of binary variables. The Hamiltonian function is often used to formulate QUBO problems where…

Artificial Intelligence · Computer Science 2023-09-29 Redwan Ahmed Rizvee , Md. Mosaddek Khan

Quantum Reinforcement Learning (QRL) emerged as a branch of reinforcement learning (RL) that uses quantum submodules in the architecture of the algorithm. One branch of QRL focuses on the replacement of neural networks (NN) by variational…

Quantum Physics · Physics 2024-05-15 Georg Kruse , Theodora-Augustina Dragan , Robert Wille , Jeanette Miriam Lorenz

Quantum Random Access Optimizer (QRAO) is a quantum-relaxation based optimization algorithm proposed by Fuller et al. that utilizes Quantum Random Access Code (QRAC) to encode multiple variables of binary optimization in a single qubit.…

Quantum Physics · Physics 2023-04-11 Kosei Teramoto , Rudy Raymond , Hiroshi Imai

Parameterised quantum circuit (PQC) based Quantum Reinforcement Learning (QRL) has emerged as a promising paradigm at the intersection of quantum computing and reinforcement learning (RL). By design, PQCs create hybrid quantum-classical…

Quantum Physics · Physics 2025-11-24 Javier Lazaro , Juan-Ignacio Vazquez , Pablo Garcia-Bringas

Optimizing quantum circuits is challenging due to the very large search space of functionally equivalent circuits and the necessity of applying transformations that temporarily decrease performance to achieve a final performance…

Quantum Physics · Physics 2023-07-20 Zikun Li , Jinjun Peng , Yixuan Mei , Sina Lin , Yi Wu , Oded Padon , Zhihao Jia

Quantum annealers provide an effective framework for solving large-scale combinatorial optimization problems. This work presents a novel methodology for training Variational Quantum Algorithms (VQAs) by reformulating the parameter…

Quantum Physics · Physics 2025-09-03 Ernesto Acosta , Guillermo Botella , Carlos Cano

In recent years, quantum computing (QC) has been getting a lot of attention from industry and academia. Especially, among various QC research topics, variational quantum circuit (VQC) enables quantum deep reinforcement learning (QRL). Many…

Quantum Physics · Physics 2022-04-12 Won Joon Yun , Yunseok Kwak , Jae Pyoung Kim , Hyunhee Cho , Soyi Jung , Jihong Park , Joongheon Kim

The quantum approximate optimization algorithm (QAOA) is a hybrid quantum-classical variational algorithm that offers the potential to handle combinatorial optimization problems. Introducing constraints in such combinatorial optimization…

Quantum Physics · Physics 2021-12-15 Santosh Kumar Radha

Learning the problem structure at multiple levels of coarseness to inform the decomposition-based hybrid quantum-classical combinatorial optimization solvers is a promising approach to scaling up variational approaches. We introduce a…

Quantum Physics · Physics 2025-03-18 Bao Bach , Jose Falla , Ilya Safro

Quadratic Unconstrained Binary Optimization (QUBO) is a generic technique to model various NP-hard Combinatorial Optimization problems (CO) in the form of binary variables. Ising Hamiltonian is used to model the energy function of a system.…

Machine Learning · Computer Science 2023-12-13 Redwan Ahmed Rizvee , Raheeb Hassan , Md. Mosaddek Khan

Quantum Computing (QC) stands to revolutionize computing, but is currently still limited. To develop and test quantum algorithms today, quantum circuits are often simulated on classical computers. Simulating a complex quantum circuit…

Quantum Physics · Physics 2022-04-21 Eli A. Meirom , Haggai Maron , Shie Mannor , Gal Chechik
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