60 citations · 142 across the 17 of their papers we have counts for
20 papers
Conserved and relaxing modes enable polynomial-success coherent Carleman lattice Boltzmann evolution
Hua-Dong Yao, Sauro Succi
Carleman linearization represents nonlinear lattice Boltzmann collision dynamics in a form amenable to quantum block encoding, but low postselection probabilities in existing popul…
On the Smallness of the Large Language Models Scaling Exponents
Sauro Succi, Peter V. Coveney, Alex Hansen
We discuss reasons why the scaling exponents of current Large Language Models (LLMs) applications are indicating an unsustainable regime in terms of energy resources. We further sh…
Reduced basis algorithm for solving nonlinear differential equations on quantum computers
Monica Lăcătuş, Matthias Möller, Sauro Succi
As quantum computing moves toward scientific computing applications, nonlinear differential equations remain a central challenge since quantum evolution is intrinsically linear. In…
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…
Deterministic Realization of Classical Dissipation on Quantum Computers
Muhammad Idrees Khan, Sauro Succi, Hua-Dong Yao
Lattice Boltzmann (LB) on quantum devices must reconcile unitary gate evolution with the dissipative \emph{collision} step. In the multiple-relaxation-time (MRT) class, we work in…
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…