10 papers
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 increa…
A Quantum Genetic Algorithm with application to Cosmological Parameters Estimation
Giuseppe Sarracino, Vincenzo Fabrizio Cardone, Roberto Scaramella +14
An Amplitude-Encoded Quantum Genetic Algorithm (AEQGA) has been developed to minimize functions of different cosmological probes (Supernovae Type Ia, Baryon Acoustic Oscilla…
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…
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…
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 pot…