D-VQLS with FWHT Pauli decomposition and 1% thresholding reduces circuit evaluations by 256x for 10-qubit tridiagonal systems while achieving over 99.99% fidelity and near-ideal scaling on up to 96 GPUs.
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PDEs are solved by formulating discretized systems as generalized eigenvalue problems and using annealing to optimize the generalized Rayleigh quotient iteratively for eigenvectors.
A quantum algorithm for evolving Schwarzschild spacetime in the WEBB NR formalism is implemented in Qiskit and tested on simulators and IBM quantum computers.
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Distributed Variational Quantum Linear Solver
D-VQLS with FWHT Pauli decomposition and 1% thresholding reduces circuit evaluations by 256x for 10-qubit tridiagonal systems while achieving over 99.99% fidelity and near-ideal scaling on up to 96 GPUs.
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Annealing-based approach to solving partial differential equations
PDEs are solved by formulating discretized systems as generalized eigenvalue problems and using annealing to optimize the generalized Rayleigh quotient iteratively for eigenvectors.
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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.
- Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation