<ul><li>Variational quantum algorithms (VQAs) and their classical counterparts, such as VQLS and VNLS, have been used to solve real-world problems on current noisy intermediate-scale quantum (NISQ) hardware.</li><li>A novel application of VQLS and VNLS has been demonstrated in a minimum map Newton solver for a complementarity-based rigid body contact model.</li><li>The results show that the VNLS accurately simulates the dynamics of rigid spherical bodies during collision events.</li><li>These findings suggest that quantum and quantum-inspired linear algebra algorithms can be viable alternatives to standard linear algebra solvers for modeling certain physical systems.</li></ul>

Variational quantum and neural quantum states algorithms for the linear complementarity problem

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