McLachlan-projected reduced dynamics on Schrödingerized backward diffusion yields a unique, norm-conserving reduced flow with a projection-defect error bound, validated against spectral and Tikhonov baselines in a 1D Qiskit benchmark.
Quantum simulation of par- tial differential equations via schrodingerisation: tech- nical details,
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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.
A quantum algorithm for evolving Schwarzschild spacetime in the WEBB NR formalism is implemented in Qiskit and tested on simulators and IBM quantum computers.
citing papers explorer
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McLachlan-projected reduced dynamics for ill-posed Schr\"odingerized backward diffusion
McLachlan-projected reduced dynamics on Schrödingerized backward diffusion yields a unique, norm-conserving reduced flow with a projection-defect error bound, validated against spectral and Tikhonov baselines in a 1D Qiskit benchmark.
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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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Solving Einstein Field Equations on a Digital Quantum Computer
A quantum algorithm for evolving Schwarzschild spacetime in the WEBB NR formalism is implemented in Qiskit and tested on simulators and IBM quantum computers.