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Related papers: Q-Match: Iterative Shape Matching via Quantum Anne…

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We present an analog version of the quantum approximate optimization algorithm suitable for current quantum annealers. The central idea of this algorithm is to optimize the schedule function, which defines the adiabatic evolution. It is…

We investigate quantum computational complexity of calculating partition functions of Ising models. We construct a quantum algorithm for an additive approximation of Ising partition functions on square lattices. To this end, we utilize the…

Quantum Physics · Physics 2014-08-13 Akira Matsuo , Keisuke Fujii , Nobuyuki Imoto

We propose QPALM, a nonconvex quadratic programming (QP) solver based on the proximal augmented Lagrangian method. This method solves a sequence of inner subproblems which can be enforced to be strongly convex and which therefore admit a…

Optimization and Control · Mathematics 2024-04-17 Ben Hermans , Andreas Themelis , Panagiotis Patrinos

We explore the applicability of quantum annealing to the approximation task of curve fitting. To this end, we consider a function that shall approximate a given set of data points and is written as a finite linear combination of…

Optimization and Control · Mathematics 2026-02-27 Philipp Isserstedt , Daniel Jaroszewski , Wolfgang Mergenthaler , Felix Paul , Bastian Harrach

Quantum annealing is a promising algorithm for solving combinatorial optimization problems. It searches for the ground state of the Ising model, which corresponds to the optimal solution of a given combinatorial optimization problem. The…

Statistical Mechanics · Physics 2026-02-25 Tomohiro Hattori , Shu Tanaka

Recently, many graph matching methods that incorporate pairwise constraint and that can be formulated as a quadratic assignment problem (QAP) have been proposed. Although these methods demonstrate promising results for the graph matching…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Fudong Wang , Nan Xue , Yipeng Zhang , Xiang Bai , Gui-Song Xia

We propose a modified MSA algorithm on quantum annealers with applications in areas of bioinformatics and genetic sequencing. To understand the human genome, researchers compare extensive sets of these genetic sequences -- or their protein…

Quantum Physics · Physics 2024-03-28 Melody Lee

Critical decision-making issues in science, engineering, and industry are based on combinatorial optimization; however, its application is inherently limited by the NP-hard nature of the problem. A specialized paradigm of analogue quantum…

Quantum Physics · Physics 2026-02-04 Rudraksh Sharma , Ravi Katukam , Arjun Nagulapally

Quantum annealing is a proposed combinatorial optimization technique meant to exploit quantum mechanical effects such as tunneling and entanglement. Real-world quantum annealing-based solvers require a combination of annealing and classical…

Quantum Physics · Physics 2015-07-30 Kenneth M. Zick , Omar Shehab , Matthew French

The demand for classical-quantum hybrid algorithms to solve large-scale combinatorial optimization problems using quantum annealing (QA) has increased. One approach involves obtaining an approximate solution using classical algorithms and…

Quantum Physics · Physics 2024-11-12 Taisei Takabayashi , Masayuki Ohzeki

In this study, we present an innovative methodology to classify quantum phases within the ANNNI (Axial Next-Nearest Neighbor Ising) model by combining Quantum Machine Learning (QML) techniques with the Shapley Additive Explanations (SHAP)…

Quadratic optimization problems (QPs) are ubiquitous, and solution algorithms have matured to a reliable technology. However, the precision of solutions is usually limited due to the underlying floating-point operations. This may cause…

Optimization and Control · Mathematics 2019-08-20 Tobias Weber , Sebastian Sager , Ambros Gleixner

Qubit Mapping is a critical task in Quantum Compilation, as modern Quantum Processing Units (QPUs) are constrained to nearest-neighbor interactions defined by a qubit coupling graph. This compiler pass repairs the connectivity of two-qubit…

Programming Languages · Computer Science 2025-11-03 Marouane Benbetka , Merwan Bekkar , Riyadh Baghdadi , Martin Kong

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealers that promise to solve certain combinatorial optimization problems of practical relevance faster than their…

Quantum Physics · Physics 2016-05-31 Itay Hen , Federico M. Spedalieri

The rapid growth of spatial data urges the research community to find efficient processing techniques for interactive queries on large volumes of data. Approximate Query Processing (AQP) is the most prominent technique that can provide…

Databases · Computer Science 2020-08-18 Tin Vu , Ahmed Eldawy

I present a novel use of quantum annealing to solve the Set Splitting Problem using (QUBO) problem formulation. The contribution of the work is in formulating penalty functions that ensure the ground state of the QUBO Hamiltonian…

Quantum Physics · Physics 2025-08-11 Sean Borneman

Field-Programmable Gate Arrays (FPGAs) have asserted themselves as vital assets in contemporary computing by offering adaptable, reconfigurable hardware platforms. FPGA-based accelerators incubate opportunities for breakthroughs in areas,…

Recent increase in the availability of warped images projected onto a manifold (e.g., omnidirectional spherical images), coupled with the success of higher-order assignment methods, has sparked an interest in the search for improved…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Charu Sharma , Manohar Kaul

Objective: Despite recent advancements in quantum computing, the limited number of available qubits has hindered progress in CT reconstruction. This study investigates the feasibility of utilizing quantum annealing-based computed tomography…

Quantum Physics · Physics 2024-02-12 Akihiro Haga

Quantum machine learning seeks to leverage quantum computers to improve upon classical machine learning algorithms. Currently, robust uncertainty quantification methods remain underdeveloped in the quantum domain, despite the critical need…

Machine Learning · Computer Science 2026-05-18 Douglas Spencer , Samual Nicholls , Michele Caprio
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