Related references
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Article
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Summary: The quantum approximate optimization algorithm (QAOA) is studied in relation to adiabaticity, and the connection is made explicit by constructing counterdiabatic (CD) evolution. By linking QAOA with quantum adiabatic algorithms (QAA), the convergence of the approximation ratio is shown, and the optimization of CD-QAOA angles is found to be equivalent to optimizing a continuous adiabatic schedule. It is demonstrated that QAOA is at least counterdiabatic and has better performance than finite time adiabatic evolution.
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Summary: The quantum approximate optimization algorithm (QAOA) is a hybrid quantum-classical algorithm that solves binary-variable optimization problems. We compared its performance with classical algorithms for the Max-Cut problem and found that QAOA performs significantly better on certain graph types.
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(2022)
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(2022)
Proceedings Paper
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Article
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Linghua Zhu et al.
Summary: This paper develops an iterative version of the quantum approximate optimization algorithm (QAOA) that is problem tailored and can be adapted to specific hardware constraints. The algorithm is simulated on a class of Max-Cut graph problems and shows faster convergence compared to the standard QAOA, while reducing the required number of gates and optimization parameters.
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Summary: This paper discusses the application of quantum algorithms in integer programming and combinatorial optimization problems, as well as combining quantum algorithms with classical algorithms' performance guarantees through warm start. Experimental results in different problem domains show that warm-starting quantum algorithms is particularly beneficial at low depths and leads to systematic improvements for specific problems.
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Summary: Research demonstrates the application of Google Sycamore superconducting qubit quantum processor to combinatorial optimization problems. Performance depends on problem type and circuit depth, with subpar results for non-native problems, suggesting a need for more focus.
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Summary: Tensor networks are state-of-the-art computational methods with various applications, and finding optimal contraction paths for networks with irregular geometries is a critical issue. New randomized protocols have been implemented to improve path quality, showing significant improvement over established approaches.
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L. C. G. Govia et al.
Summary: This research presents a modification to the QAOA algorithm by adding additional variational parameters, resulting in high performance in solving the MaxCut problem at low depth, and explores its potential for solving other problems effectively.
Article
Optics
Jonathan Wurtz et al.
Summary: This study presents numerical evidence for the fixed angle conjecture for QAOA, showing that at certain fixed angles, QAOA can have universally good performance on any 3-regular graph, even outperforming other algorithms.
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Optics
Juneseo Lee et al.
Summary: The study explores the interrelation between quantum and classical components in variational quantum algorithms, particularly focusing on their impact on solving combinatorial optimization problems. It identifies multiqubit operations as a key resource and proves that overparameterization can yield favorable landscapes in certain quantum circuit ansatze. The research also shows the importance of noncommutativity and entanglement in improving algorithm performance through numerical experiments.
Review
Physics, Applied
M. Cerezo et al.
Summary: Variational quantum algorithms, utilizing classical optimizers to train parameterized quantum circuits, have emerged as a leading strategy to address the limitations of quantum computing. Despite challenges, they appear to be the best hope for achieving quantum advantage.
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Article
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