3 citations · 6 across the 9 of their papers we have counts for
10 papers
Quantum Algorithms for Computational Fluid Dynamics
Mario Guillaume Cecile, Nis-Luca van Hülst, Tomohiro Hashizume +19
We present a comprehensive review of quantum approaches for solving partial differential equations (PDEs) arising in computational fluid dynamics (CFD). We examine fully quantum ap…
Efficient Treatment of Non-Linearity in Quantum Computational Fluid Dynamics Using Hybrid Tensor Networks
Pia Siegl, Nis-Luca van Hülst, Maximilian Mandelt Buxadé +2
Nonlinear terms present a fundamental challenge for quantum computational fluid dynamics, as their implementation on inherently linear quantum hardware typically requires resource-…
Iterative tensor network transformations for element-wise evaluation of elementary and filtering functions
Xiao Wang, Tomohiro Hashizume, Pia Siegl +1
Tensor networks are powerful formats for compressing large-scale data. However, their application to general data processing has been limited by the difficulty of performing nonlin…
Quantum computation at the edge of chaos
Tomohiro Hashizume, Zhengjun Wang, Frank Schlawin +1
A key challenge in classical machine learning is to mitigate overparameterization by selecting sparse solutions. We translate this concept to the quantum domain, introducing quantu…
Quantum-Inspired Simulation of 2D Turbulent Rayleigh-Bénard Convection
Nis-Luca van Hülst, Mario Guillaume Cecile, Hai-Yen Van +3
Turbulent thermal convection governs heat transport in systems ranging from stellar interiors to industrial heat exchangers. Two-dimensional Rayleigh-Bénard convection serves as a…
Symplectic Optimization on Bosonic Gaussian States
Christopher Willby, Tomohiro Hashizume, Jason Crain +1
Computing bosonic Gaussian ground states via variational optimization is challenging because the covariance matrices must satisfy the uncertainty principle, rendering constrained o…
Quantum Solvers: Predictive Aeroacoustic & Aerodynamic modeling
Nis-Luca van Hülst, Theofanis Panagos, Greta Sophie Reese +2
This technical report presents our winning contribution to the 2024 Airbus and BMW Group Quantum Computing Challenge under the category 'Quantum Solvers'. This submission addresses…
Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates
Nis-Luca van Hülst, Pia Siegl, Paul Over +5
We introduce an algorithmic framework based on tensor networks for computing fluid flows around immersed objects in curvilinear coordinates. We show that the tensor network simulat…
Dynamical quantum phase transitions on random networks
Tomohiro Hashizume, Felix Herbort, Joseph Tindall +1
We investigate two types of dynamical quantum phase transitions (DQPTs) in the transverse field Ising model on ensembles of Erdős-Rényi networks of size . These networks consist…
Tensor-Programmable Quantum Circuits for Solving Differential Equations
Pia Siegl, Greta Sophie Reese, Tomohiro Hashizume +2
We present a quantum solver for partial differential equations based on a flexible matrix product operator representation. Utilizing mid-circuit measurements and a state-dependent…