LHAM converts nonlinear PDEs into linear recursive systems via homotopy analysis and simulates them through Lindbladian quantum dynamics, achieving logarithmic Hilbert space scaling versus polynomial scaling in prior methods.
Quantum algorithms for computing observables of nonlinear partial differential equations
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Continuous-variable photonic platform with 20,000-mode cluster state simulates advection transport equation, achieving relative errors of 0.8% and 0.92% on first- and second-order moments via homodyne readout.
Encoding strategies for quantum fluid simulations trade off compactness against practicality in state preparation, measurement, boundary conditions, and nonlinear operations, with no single approach being universally optimal.
citing papers explorer
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Lindbladian Homotopy Analysis Method to Solve Nonlinear Partial Differential Equations
LHAM converts nonlinear PDEs into linear recursive systems via homotopy analysis and simulates them through Lindbladian quantum dynamics, achieving logarithmic Hilbert space scaling versus polynomial scaling in prior methods.
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Analog photonic simulator for large-scale transport
Continuous-variable photonic platform with 20,000-mode cluster state simulates advection transport equation, achieving relative errors of 0.8% and 0.92% on first- and second-order moments via homodyne readout.
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Encoding strategies for quantum enhanced fluid simulations: opportunities and challenges
Encoding strategies for quantum fluid simulations trade off compactness against practicality in state preparation, measurement, boundary conditions, and nonlinear operations, with no single approach being universally optimal.