4 papers
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…
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…
Improved amplitude amplification strategies for the quantum simulation of classical transport problems
Alessandro Andrea Zecchi, Claudio Sanavio, Simona Perotto +1
The quantum simulation of classical fluids often involves the use of probabilistic algorithms that encode the result of the dynamics in the form of the amplitude of the selected qu…