Hybrid Quantum-Classical Algorithm for the Lattice-Boltzmann Method for the Linear Advective-Diffusion Equation

David Wawrzyniak¹, Josef Winter², Steffen Schmidt², Thomas Indinger², Uwe Schramm³, Christian Janssen³, Nikolaus A. Adams^1,2

1: Technical University of Munich, Munich Institute of Integrated Materials, Energy and Process Engineering, Lichtenbergstr. 4a, 85748 Garching, Germany; 2: Technical University of Munich, Chair of Aerodynamics and Fluid Mechanics, Boltzmannstr. 15, 85748 Garching, Germany; 3: Altair Engineering Inc., 1820 E. Big Beaver Road, Troy, MI 48083, United States

Towards Quantum Compuational Fluid Dynamics with Tensor Programmable Quantum Algorithms

Pia Siegl^1,2, Nis-Luca van Hülst², Greta Sophie Reese^2,3,4, Tomohiro Hashizume^2,4, Dieter Jaksch^2,4,5

1: Institute of Software Methods for Product Virtualization, German Aerospace Center (DLR); 2: Institute for Quantum Physics, University of Hamburg; 3: Center for Optical Quantum Technologies, University of Hamburg; 4: The Hamburg Centre for Ultrafast Imaging; 5: Clarendon Laboratory, University of Oxford

Fundamental understanding of tensor network-based finite difference methods in computational fluid dynamics

Yuichi Kuya¹, Yuki Kato², Takahito Asaga², Yukihiro Yoshida², Kosuke Mitrai³, Hiroshi Ueda³

1: Kyushu University, Japan; 2: Tohoku University, Japan; 3: The University of Osaka, Japan

Spectral quantum algorithm for passive scalar transport in shear flows

Philipp Pfeffer¹, Peter Brearley², Sylvain Laizet², Jörg Schumacher¹

1: Technische Universität Ilmenau, Germany; 2: Imperial College London, United Kingdom

Hybrid Newton Method with Quantum Linear System Solver for nonlinear Partial Differential Equations in CFD

Maximilian Mandelt Buxadé, Stefan Langer, Philipp Bekemeyer

German Aerospace Center (DLR), Germany

Measurement Schemes for Quantum Linear Equation Solvers

Andrew Patterson¹, Leigh Lapworth²

1: Riverlane; 2: Rolls-Royce