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Reducing quantum and classical resources for quantum-centric supercomputing workloads on near-term hardware
Maxence Grandadam, Vladyslav Bohun, Dikshant Dulal +1
Sample-based Krylov quantum diagonalization (SKQD) is a paradigmatic example of a quantum-centric supercomputing workflow that combines the convergence structure of Krylov quantum…
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 Hamiltonian simulation of linearised Euler equations in complex geometries
Vladyslav Bohun, Andrij Kuzmak, Maciej Koch-Janusz
Quantum computing promises exponential improvements in solving large systems of partial differential equations (PDE), which forms a bottleneck in high-resolution simulations of, am…
Distributed Quantum Dynamics on Near-Term Quantum Processors
Vladyslav Bohun, Maxence Grandadam, Maciej Koch-Janusz
Simulations of quantum dynamics are a key application of near term quantum computing, but are hindered by the twin challenges of noise and small device scale, which limit the execu…
Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations
Vladyslav Bohun, Illia Lukin, Mykola Luhanko +4
Encoding classical data in a quantum state is a key prerequisite of many quantum algorithms. Recently matrix product state (MPS) methods emerged as the most promising approach for…