181 citations · 285 across the 14 of their papers we have counts for
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Quantum algorithms for the exponentiation of Toeplitz matrices and applications in partial differential equations
Xabier Gutiérrez, Nicola Mariella, Javier González-Conde +2
We present quantum algorithms to approximate the exponential of banded Toeplitz matrices. These matrices have central importance in many PDE related problems, but their quantum imp…
Lindblad Multiproduct Formulas
Niall F. Robertson, Andrea D'Urbano, Anton Dekusar +11
We introduce Lindblad Multiproduct Formulas: a quantum error mitigation technique that uses two-dimensional tensor networks contracted with loop-corrected belief propagation. The q…
Quantum algorithms for stochastic nonlinear differential equations
Sergey Bravyi, Adam Byrne, Mykhaylo Zayats +1
Stochastic nonlinear dynamics underlie many models in engineering and computational physics, yet accurate high-dimensional simulation remains challenging. We present a quantum algo…