7 papers
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…
Information theory for dimensionality reduction in dynamical systems
Matthew S. Schmitt, Maciej Koch-Janusz, Michel Fruchart +3
The dynamics of many-body systems can often be captured in terms of only a few relevant variables. Mathematical and numerical approaches exist to identify these variables by exploi…
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 computational flui…
Computational access to lattice and long-wavelength physics in quantum mutual information
Patrick M. Lenggenhager, M. Michael Denner, Doruk Efe Gökmen +3
Quantum mutual information is an important tool for characterizing correlations in quantum many-body systems, but its numerical evaluation is often prohibitively expensive. While s…
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…