2 citations · 2 across the 11 of their papers we have counts for
6 papers · 1 filter
Lowest order Carleman linearization for low Reynolds long-term behaviour of fluid flow simulations
Luca Cappelli, Sauro Succi
It is shown that the lowest (second) order truncation of the Carleman linearization of the fluid equations (C2) recovers the late stage of the evolution, namely the steady-state so…
Schrödinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
Luca Cappelli, Sauro Succi, Monica Lacatus +2
The search for quantum-like wave formulations of the Navier-Stokes (Schrödinger-Navier-Stokes, SNS for short) equations describing classical dissipative fluids has met with increas…
Block encoding of sparse matrices with a periodic diagonal structure
Alessandro Andrea Zecchi, Claudio Sanavio, Luca Cappelli +3
Block encoding is a successful technique used in several powerful quantum algorithms. In this work we provide an explicit quantum circuit for block encoding a sparse matrix with a…
The foundational value of quantum computing for classical fluids
Sauro Succi, Claudio Sanavio, Peter Love
Quantum algorithms for classical physics problems expose new patterns of quantum information flow as compared to the many-body Schrödinger equation. As a result, besides their pote…
Quantum Algorithm for the Fixed-Radius Neighbor Search
Luca Cappelli, Claudio Sanavio, Alessandro Andrea Zecchi +2
Neighbor search is a computationally demanding problem, usually both time- and memory-consuming. The main problem of this kind of algorithms is the long execution time due to cache…
From Vlasov-Poisson to Schrödinger-Poisson: dark matter simulation with a quantum variational time evolution algorithm
Luca Cappelli, Francesco Tacchino, Giuseppe Murante +2
Cosmological simulations describing the evolution of density perturbations of a self-gravitating collisionless Dark Matter (DM) fluid in an expanding background, provide a powerful…