50 citations · 80 across the 10 of their papers we have counts for
10 papers
Quantum machine learning for the quantum lattice Boltzmann method: Trainability of variational quantum circuits for the nonlinear collision operator across multiple time steps
Antonio David Bastida Zamora, Ljubomir Budinski, Pierre Sagaut +1
This study investigates the application of quantum machine learning (QML) to approximate the nonlinear component of the collision operator within the quantum lattice Boltzmann meth…
Quantum algorithm for the lattice Boltzmann method with applications on real quantum devices
Antonio Bastida-Zamora, Ljubomir Budinski, Oskari Kerppo +8
We introduce a novel quantum algorithm for the lattice Boltzmann method (LBM) based on the one-step simplified LBM. The structure of the algorithm allows for more flexibility in mo…
Quantum Orthogonal Separable Physics-Informed Neural Networks
Pietro Zanotta, Ljubomir Budinski, Caglar Aytekin +1
This paper introduces Quantum Orthogonal Separable Physics-Informed Neural Networks (QO-SPINNs), a novel architecture for solving Partial Differential Equations, integrating quantu…
Quantum lattice Boltzmann method for several time steps: A local Carleman linearization algorithm
Antonio David Bastida Zamora, Ljubomir Budinski, Valtteri Lahtinen +1
This article presents a novel encoding for quantum Lattice Boltzmann method algorithm using Carleman linearization. In contrast to previous articles \cite{Sanavio2024LatticeBC,sana…
Adaptive Lattice Gas Algorithm: Classical and Quantum implementations
Niccolò Fonio, Ljubomir Budinski, Valtteri Lahtinen +1
Lattice gas algorithms (LGA) are a class of algorithms including, in chronological order, binary lattice gas cellular automata (LGCA), integer lattice gas algorithms (ILGA) and lat…
Float Lattice Gas Automata: A connection between Molecular Dynamics and Lattice Boltzmann Method for quantum computers
Antonio David Bastida Zamora, Ljubomir Budinski, Valtteri Lahtinen +1
Building upon the Integer Lattice Gas Automata framework of Blommel \textit{et al.} \cite{PhysRevE.97.023310}, we introduce a simplified, fluctuation-free variant. This approach re…
Utilizing classical programming principles in the Intel Quantum SDK: implementation of quantum lattice Boltzmann method
Tejas Shinde, Ljubomir Budinski, Ossi Niemimäki +3
We explore the use of classical programming techniques in implementing the quantum lattice Boltzmann method in the Intel Quantum SDK -- a software tool for quantum circuit creation…
Efficient Quantum Lattice Gas Automata
Antonio David Bastida Zamora, Ljubomir Budinski, Ossi Niemimäki +1
This study presents a novel quantum algorithm for lattice gas automata simulation with a single time step, demonstrating logarithmic complexity in terms of gates. The algorith…
Efficient parallelization of quantum basis state shift
Ljubomir Budinski, Ossi Niemimäki, Roberto Zamora-Zamora +1
Basis state shift is central to many quantum algorithms, most notably the quantum walk. Efficient implementations are of major importance for achieving a quantum speedup for comput…
Quantum algorithm for the Navier Stokes equations by using the streamfunction vorticity formulation and the lattice Boltzmann method
Ljubomir Budinski
A new algorithm for solving the Navier-Stokes equations (NSE) on a quantum device is presented. For the fluid flow equations the stream function-vorticity formulation is adopted, w…