92 citations · 397 across the 24 of their papers we have counts for
27 papers
Side-Vent Design for Microphone-Based Mechanomyography Sensors: Modeling and Experimental Evaluation of Contact Dependence
Cong Liu, Xiao Jin, Zhenhua Yu
Wearable muscle sensing for rehabilitation, assistive robotics, and electrical-stimulation feedback needs mechanomyography sensors less sensitive to fit changes during wear. In mic…
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…
Dirac quantum walk on tetrahedra
Ugo Nzongani, Nathanaël Eon, Iván Márquez-Martín +3
Discrete-time Quantum Walks (QWs) are transportation models of single quantum particles over a lattice. Their evolution is driven through causal and local unitary operators. QWs ar…
A quantum walk-based scheme for distributed searching on arbitrary graphs
Mathieu Roget, Giuseppe Di Molfetta
A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. Searching in this mathematical framework has interested the community since…
Twisted quantum walks, generalised Dirac equation and Fermion doubling
Nicolas Jolly, Giuseppe Di Molfetta
Quantum discrete-time walkers have, since their introduction, demonstrated applications in algorithmic and in modeling and simulating a wide range of transport phenomena. They have…
Entanglement dynamics and ergodicity breaking in a quantum cellular automaton
Kevissen Sellapillay, Alberto Verga, Giuseppe Di Molfetta
Ergodicity breaking is observed in the blockade regime of Rydberg atoms arrays, in the form of low entanglement eigenstates known as scars, which fail to thermalize. The signature…
Geodesic Quantum Walks
Giuseppe Di Molfetta, Victor Deng
We propose a new family of discrete-spacetime quantum walks capable to propagate on any arbitrary triangulations. Moreover we also extend and generalize the duality principle intro…
Optimality conditions for spatial search with multiple marked vertices
Mathieu Roget, Hachem Kadri, Giuseppe Di Molfetta
We contribute to fulfil the long-lasting gap in the understanding of the spatial search with multiple marked vertices. The theoretical framework is that of discrete-time quantum wa…
Quantum walks, limits and transport equations
Giuseppe Di Molfetta
This manuscript gathers and subsumes a long series of works on using QW to simulate transport phenomena. Quantum Walks (QWs) consist of single and isolated quantum systems, evolvin…
Quantum Perceptron Revisited: Computational-Statistical Tradeoffs
Mathieu Roget, Giuseppe Di Molfetta, Hachem Kadri
Quantum machine learning algorithms could provide significant speed-ups over their classical counterparts; however, whether they could also achieve good generalization remains uncl…
A discrete relativistic spacetime formalism for 1+1-QED with continuum limits
Kevissen Sellapillay, Pablo Arrighi, Giuseppe Di Molfetta
We build a quantum cellular automaton (QCA) which coincides with 1+1 QED on its known continuum limits. It consists in a circuit of unitary gates driving the evolution of particles…
Quantum simulation of quantum relativistic diffusion via quantum walks
Pablo Arnault, Adrian Macquet, Andreu Anglés-Castillo +6
Two models are first presented, of one-dimensional discrete-time quantum walk (DTQW) with temporal noise on the internal degree of freedom (i.e., the coin): (i) a model with both a…
Electromagnetic lattice gauge invariance in two-dimensional discrete-time quantum walks
Iván Márquez-Mártin, Pablo Arnault, Giuseppe Di Molfetta +1
Gauge invariance is one of the more important concepts in physics. We discuss this concept in connection with the unitary evolution of discrete-time quantum walks in one and two sp…
Quantum walking in curved spacetime: discrete metric
Pablo Arrighi, Giuseppe Di Molfetta, Stefano Facchini
A discrete-time quantum walk (QW) is essentially a unitary operator driving the evolution of a single particle on the lattice. Some QWs have familiar physics PDEs as their continuu…
The Elephant Quantum Walk
Giuseppe Di Molfetta, Diogo O. Soares-Pinto, Silvio M. Duarte Queiros
We explore the impact of long-range memory on the properties of a family of quantum walks in a one-dimensional lattice and discrete time, which can be understood as the quantum ver…
Fermion confinement via Quantum Walks in 2D+1 and 3D+1 spacetime
I. Marquez-Martin, G. Di Molfetta, A. Perez
We analyze the properties of a two and three dimensional quantum walk that are inspired by the idea of a brane-world model put forward by Rubakov and Shaposhnikov [1]. In that mode…
Mimicking spatial localization in dynamical random environment
Ivan Marquez-Martin, Giuseppe Di Molfetta, Armando Perez
We study the role played by noise on the QW introduced in [1], a 1D model that is inspired by a two particle interacting QW. The noise is introduced by a random change in the value…
Quantum walk on a cylinder
Luis A. Bru, Germán J. de Valcárcel, Giuseppe Di Molfetta +3
We consider the 2D alternate quantum walk on a cylinder. We concentrate on the study of the motion along the open dimension, in the spirit of looking at the closed coordinate as a…
Quantum Walks as simulators of neutrino oscillations in vacuum and matter
Giuseppe Di Molfetta, Armando Pérez
We analyze the simulation of Dirac neutrino oscillations using quantum walks, both in vacuum and in matter. We show that this simulation, in the continuum limit, reproduces a set o…
Classical probability density distributions with uncertainty relations for ground states of simple non-relativistic quantum-mechanical systems
Tomasz Radozycki
The probability density distributions for the ground states of certain model systems in quantum mechanics and for their classical counterparts are considered. It is shown, that cla…
Nonlinear Optical Galton Board: thermalization and continuous limit
Giuseppe Di Molfetta, Fabrice Debbasch, Marc Brachet
The nonlinear optical Galton board (NLOGB), a quantum walk like (but nonlinear) discrete time quantum automaton, is shown to admit a complex evolution leading to long time thermali…
Discrete-time Quantum Walks in random artificial Gauge Fields
G. Di Molfetta, F. Debbasch
Discrete-time quantum walks (DTQWs) in random artificial electric and gravitational fields are studied analytically and numerically. The analytical computations are carried by a ne…
Quantum Walks in artificial electric and gravitational Fields
Giuseppe Di Molfetta, Marc Brachet, Fabrice Debbasch
The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fer…