A matrix decomposition into linear combinations of non-unitaries produces an LCU for any Carleman-linearized polynomial system and yields an O(α² Q²) term count for the 3D lattice Boltzmann equation independent of spatial or temporal grid points.
Quantum algorithm for the Navier–Stokes equations by using the streamfunction- vorticity formulation and the lattice Boltzmann method
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Constructs crossed-product von Neumann algebras M_u from incompressible flows to define commutator-based tracial complexity functionals linked to determinants and entropy.
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Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation
A matrix decomposition into linear combinations of non-unitaries produces an LCU for any Carleman-linearized polynomial system and yields an O(α² Q²) term count for the 3D lattice Boltzmann equation independent of spatial or temporal grid points.
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Crossed-Product von Neumann Algebras for Incompressible Navier--Stokes Flows and Spectral Complexity Indicators
Constructs crossed-product von Neumann algebras M_u from incompressible flows to define commutator-based tracial complexity functionals linked to determinants and entropy.