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We study algorithms inspired by quantum annealing that are suited for the NISQ era. First, we analyze approximate quantum annealing (AQA), which employs a discretized annealing ansatz in which the time step and the number of layers are…

Quantum Physics · Physics 2026-04-29 Rijul Sachdeva , Vrinda Mehta , Manpreet Singh Jattana , Kristel Michielsen , Fengping Jin

A significant hurdle in the noisy intermediate-scale quantum (NISQ) era is identifying functional quantum circuits. These circuits must also adhere to the constraints imposed by current quantum hardware limitations. Variational quantum…

Quantum Physics · Physics 2024-10-03 Akash Kundu

Variational quantum algorithms such as the Quantum Approximation Optimization Algorithm (QAOA) in recent years have gained popularity as they provide the hope of using NISQ devices to tackle hard combinatorial optimization problems. It is,…

Quantum Physics · Physics 2024-02-07 Yash J. Patel , Sofiene Jerbi , Thomas Bäck , Vedran Dunjko

Quantum annealers are specialized quantum computers for solving combinatorial optimization problems using special characteristics of quantum computing (QC), such as superposition, entanglement, and quantum tunneling. Theoretically, quantum…

Software Engineering · Computer Science 2024-07-29 Xinyi Wang , Asmar Muqeet , Tao Yue , Shaukat Ali , Paolo Arcaini

Quantum computers have the potential of solving problems more efficiently than classical computers. While first commercial prototypes have become available, the performance of such machines in practical application is still subject to…

Emerging Technologies · Computer Science 2020-05-13 Tom Krüger , Wolfgang Mauerer

Quantum annealing is an emerging metaheuristic used for solving combinatorial optimisation problems. However, hardware based physical quantum annealers are primarily limited to a single vendor. As an alternative, we can discretise the…

Quantum Physics · Physics 2023-07-20 Ameya Bhave , Ajinkya Borle

Quantum annealers (QAs) are specialized quantum computers that minimize objective functions over discrete variables by physically exploiting quantum effects. Current QA platforms allow for the optimization of quadratic objectives defined…

Emerging Technologies · Computer Science 2018-11-07 Zhengbing Bian , Fabian Chudak , William Macready , Aidan Roy , Roberto Sebastiani , Stefano Varotti

Quantum Annealing (QA) is a quantum computing paradigm for solving combinatorial optimization problems formulated as Quadratic Unconstrained Binary Optimization (QUBO) problems. An essential step in QA is minor embedding, which maps the…

Quantum Physics · Physics 2026-03-03 Riccardo Nembrini , Maurizio Ferrari Dacrema , Paolo Cremonesi

In this paper, we introduce stochastic simulated quantum annealing (SSQA) for large-scale combinatorial optimization problems. SSQA is designed based on stochastic computing and quantum Monte Carlo, which can simulate quantum annealing (QA)…

Quantum Physics · Physics 2024-07-25 Naoya Onizawa , Ryoma Sasaki , Duckgyu Shin , Warren J. Gross , Takahiro Hanyu

Quantum annealing (QA) is a promising method for solving combinatorial optimization problems whose solutions are embedded into a ground state of the Ising Hamiltonian. This method employs two types of Hamiltonians: a driver Hamiltonian and…

Quantum Physics · Physics 2022-09-23 Takashi Imoto , Yuichiro Matsuzaki

In the field of quantum computing, variational quantum algorithms (VQAs) represent a pivotal category of quantum solutions across a broad spectrum of applications. These algorithms demonstrate significant potential for realising quantum…

Quantum Physics · Physics 2024-08-16 Abhishek Sadhu , Aritra Sarkar , Akash Kundu

The standard quantum annealing algorithm tries to approach the ground state of a classical system by slowly decreasing the hopping rates of a quantum random walk in the configuration space of the problem, where the on-site energies are…

Disordered Systems and Neural Networks · Physics 2018-12-26 A. Ramezanpour

Quantum hardware and quantum-inspired algorithms are becoming increasingly popular for combinatorial optimization. However, these algorithms may require careful hyperparameter tuning for each problem instance. We use a reinforcement…

Machine Learning · Computer Science 2021-03-22 Dmitrii Beloborodov , A. E. Ulanov , Jakob N. Foerster , Shimon Whiteson , A. I. Lvovsky

Quantum annealing (QA) has the potential to significantly improve solution quality and reduce time complexity in solving combinatorial optimization problems compared to classical optimization methods. However, due to the limited number of…

Quantum Physics · Physics 2025-04-09 Seongmin Kim , Sang-Woo Ahn , In-Saeng Suh , Alexander W. Dowling , Eungkyu Lee , Tengfei Luo

We propose a reinforcement learning (RL) scheme for feedback quantum control within the quan-tum approximate optimization algorithm (QAOA). QAOA requires a variational minimization for states constructed by applying a sequence of unitary…

Quantum Physics · Physics 2020-09-23 Matteo M. Wauters , Emanuele Panizon , Glen B. Mbeng , Giuseppe E. Santoro

Many problems of industrial interest are NP-complete, and quickly exhaust resources of computational devices with increasing input sizes. Quantum annealers (QA) are physical devices that aim at this class of problems by exploiting quantum…

We demonstrate that the performance of a quantum annealer on hard random Ising optimization problems can be substantially improved using quantum annealing correction (QAC). Our error correction strategy is tailored to the D-Wave Two device.…

Quantum Physics · Physics 2015-04-03 Kristen L. Pudenz , Tameem Albash , Daniel A. Lidar

We investigate whether quantum annealers with select chip layouts can outperform classical computers in reinforcement learning tasks. We associate a transverse field Ising spin Hamiltonian with a layout of qubits similar to that of a deep…

Quantum Physics · Physics 2019-01-07 Daniel Crawford , Anna Levit , Navid Ghadermarzy , Jaspreet S. Oberoi , Pooya Ronagh

Providing an optimal path to a quantum annealing algorithm is key to finding good approximate solutions to computationally hard optimization problems. Reinforcement is one of the strategies that can be used to circumvent the exponentially…

Disordered Systems and Neural Networks · Physics 2022-07-27 Abolfazl Ramezanpour

Quantum annealing (QA) is a hardware-based heuristic optimization and sampling method applicable to discrete undirected graphical models. While similar to simulated annealing, QA relies on quantum, rather than thermal, effects to explore…

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