78 citations · 272 across the 20 of their papers we have counts for
20 papers
Fermion-doubling problem in Chiral discretizations of Quantum field theory: Definitive proof, Fixing, and Computation of two-point correlation function
Dogukan Bakircioglu, Pablo Arnault
We give the definitive proof that the Dirac Quantum Cellular Automaton (QCA) used for both quantum simulation and algorithmic foundations of Quantum Field Theory (QFT), and especia…
Fermion Doubling in Quantum Cellular Automata
Dogukan Bakircioglu, Pablo Arnault, Pablo Arrighi
A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because , QCAs constitute a pri…
Canonical quantization of the complex scalar field without making use of its real and imaginary parts
Pablo Arnault
We proceed to the canonical quantization of the complex scalar field without making use of its real and imaginary parts. Our motivation is to formally connect, as tightly as possib…
A typology of quantum algorithms
Pablo Arnault, Pablo Arrighi, Steven Herbert +2
We draw the current landscape of quantum algorithms, by classifying about 130 quantum algorithms, according to the fundamental mathematical problems they solve, their real-world ap…
Adjustable-depth quantum circuit for position-dependent coin operators of discrete-time quantum walks
Ugo Nzongani, Pablo Arnault
Discrete-time quantum walks with position-dependent coin operators have numerous applications. For a position dependence that is sufficiently smooth, it has been provided in Ref. […
Quantum circuits for discrete-time quantum walks with position-dependent coin operator
Ugo Nzongani, Julien Zylberman, Carlo-Elia Doncecchi +3
The aim of this paper is to build quantum circuits that implement discrete-time quantum walks having an arbitrary position-dependent coin operator. The position of the walker is en…
Quantum spatial search with electric potential : long-time dynamics and robustness to noise
Thibault Fredon, Julien Zylberman, Pablo Arnault +1
We present various results on the scheme introduced , which is a quantum spatial-search algorithm on a two-dimensional (2D) square spatial grid, realized with a 2D Dirac discrete-t…
A single-particle framework for unitary lattice gauge theory in discrete time
Pablo Arnault, Christopher Cedzich
We construct a real-time lattice-gauge-theory-type action for a spin-1/2 matter field of a single particle on a (1+1)-dimensional spacetime lattice. The framework is based on a dis…
Clifford algebra from quantum automata and unitary Wilson fermions
Pablo Arnault
We introduce a spacetime discretization of the Dirac equation that has the form of a quantum automaton and that is invariant upon changing the representation of the Clifford algebr…
Dirac quantum walks with conserved angular momentum
Gareth Jay, Pablo Arnault, Fabrice Debbasch
A Quantum Walk (QW) simulating the flat D Dirac Eq.\ on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a represe…
Quantum walks in weak electric fields and Bloch oscillations
Pablo Arnault, Benjamin Pepper, A. Pérez
Bloch oscillations appear when an electric field is superimposed on a quantum particle that evolves on a lattice with a tight-binding Hamiltonian (TBH), i.e., evolves via what we w…
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…
Discrete-time quantum walks as fermions of lattice gauge theory
Pablo Arnault, Armando Pérez, Pablo Arrighi +1
It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time…
Discrete-time quantum walks and gauge theories
Pablo Arnault
A quantum computer, i.e. utilizing the resources of quantum physics, superposition of states and entanglement, could furnish an exponential gain in computing time. A simulation usi…
Quantum walks and gravitational waves
Pablo Arnault, Fabrice Debbasch
A new family of discrete-time quantum walks (DTQWs) propagating on a regular D spacetime lattice is introduced. The continuous limit of these DTQWs is shown to coincide with…
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…
Quantum Walks and discrete Gauge Theories
Pablo Arnault, Fabrice Debbasch
A particular example is produced to prove that quantum walks can be used to simulate full-fledged discrete gauge theories. A new family of walks is introduced and its continuo…
Landau levels for discrete-time quantum walks in artificial magnetic fields
Pablo Arnault, Fabrice Debbasch
A new family of 2D discrete-time quantum walks (DTQWs) is presented and shown to coincide, in the continuous limit, with the Dirac dynamics of a spin 1/2 fermion coupled to a const…
A Model for Multi-property Galaxy Cluster Statistics
August E. Evrard, Pablo Arnault, Dragan Huterer +1
The massive dark matter halos that host groups and clusters of galaxies have observable properties that appear to be log-normally distributed about power-law mean scaling relations…