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Decomposition-free variational quantum linear solver: Application in computational mechanics

Yongchun Xu, Heng Hu

2025Computer Methods in Applied Mechanics and Engineering5 citationsDOI

Topics & Concepts

Vectorization (mathematics)SolverCoefficient matrixApplied mathematicsMathematicsQuantumMatrix (chemical analysis)Computer scienceQuantum algorithmMatrix multiplicationComputational complexity theoryKronecker productAlgorithmQuantum computerLinear systemUnitary stateMatrix decompositionAccelerationLinear algebraBenchmark (surveying)Numerical analysisConvergence (economics)Mathematical optimizationState vectorNumerical linear algebraComputational mechanicsQuantum dynamicsComputational fluid dynamicsRate of convergenceVariational methodProduct (mathematics)Computational scienceKey (lock)Quantum systemQuantum stateQuantum processQuantum phase estimation algorithmMinificationQuantum Computing Algorithms and ArchitectureMatrix Theory and AlgorithmsAdvanced Optimization Algorithms Research
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