7 papers
Unconditionally successful quantum Time-Marching algorithm via LCU for nonlinear Burgers equation
Niccolo Fonio, Giuseppe Di Molfetta, Pierre Sagaut
Most recently proposed quantum algorithms for solving linear and nonlinear partial differential equations rely on non-unitary operations. These operations are typically implemented…
Qubit-Boson Hybrid Beam-Splitter Gate with Kerr Nonlinearity in Circuit QED for Many-Body Dynamics
Andrea Mammola, Giuseppe Di Molfetta, Quentin Schaeverbeke
We introduce a hybrid qubit-boson beam-splitter gate in which a microwave cavity mode couples to an exchange-dressed two-level subsystem of an interacting two-qubit system in the p…
Two-dimensional quantum lattice gas algorithm for anisotropic Burger-like equations
Niccoló Fonio, Pierre Sagaut, Giuseppe Di Molfetta
Building on hybrid quantum lattice gas algorithm, we revisit the possibilities of this quantum lattice model. By deriving a correction to the predicted viscosity, we provide analyt…
Noisy simulations of Quantum Walk and Quantum Walk search via Quantum Cellular Automata on a semiconducting spin processor emulator
Andrea Mammola, Quentin Schaeverbeke, Giuseppe Di Molfetta
In this work we map NISQ-friendly implementations of the non-interacting QCA to a circuit Quantum Electrodynamics (cQED) hardware. We perform both noiseless and noisy simulations o…
Non-unitary enhanced transfer efficiency in quantum walk search on complex networks
Ugo Nzongani, Andrea Simonetto, Giuseppe Di Molfetta
The task of finding an element in an unstructured database is known as spatial search and can be expressed as a quantum walk evolution on a graph. In this article, we modify the us…
Sampled-Based Guided Quantum Walk: Non-variational quantum algorithm for combinatorial optimization
Ugo Nzongani, Dylan Laplace Mermoud, Giuseppe Di Molfetta +1
We introduce SamBa-GQW, a novel quantum algorithm for solving binary combinatorial optimization problems of arbitrary degree with no use of any classical optimizer. The algorithm i…