Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Arnault, Pablo"'
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 applications, the main subroutines they employ, and several other releva
Externí odkaz:
http://arxiv.org/abs/2407.05178
Autor:
Nzongani, Ugo, Arnault, Pablo
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. [1] an approximate quantum-circuit implementation of the coin operator
Externí odkaz:
http://arxiv.org/abs/2304.10460
Autor:
Nzongani, Ugo, Zylberman, Julien, Doncecchi, Carlo-Elia, Pérez, Armando, Debbasch, Fabrice, Arnault, Pablo
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 encoded in base 2: with $n$ wires, each corresponding to one qubit, we e
Externí odkaz:
http://arxiv.org/abs/2211.05271
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-time quantum walk (DQW) coupled to a Coulomb electric field centered on
Externí odkaz:
http://arxiv.org/abs/2210.13920
Autor:
Arnault, Pablo, Cedzich, Christopher
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 discrete-time quantum walk, and is hence inherently unitary and strictly
Externí odkaz:
http://arxiv.org/abs/2208.14997
Autor:
Arnault, Pablo
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 algebra, as the Dirac equation itself. Our derivation follows Dirac's origin
Externí odkaz:
http://arxiv.org/abs/2105.12314
A Quantum Walk (QW) simulating the flat $(1 + 2)$D Dirac Eq.\ on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a representation of the rotation group, but rather of its double cover, the QW
Externí odkaz:
http://arxiv.org/abs/2007.06211
Publikováno v:
Phys. Rev. A 101, 062324 (2020)
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 will call an electric TBH; this phenomenon will be referred to as TBH B
Externí odkaz:
http://arxiv.org/abs/2001.05346
Autor:
Arnault, Pablo, Macquet, Adrian, Anglés-Castillo, Andreu, Márquez-Martín, Iván, Pina-Canelles, Vicente, Pérez, Armando, Di Molfetta, Giuseppe, Arrighi, Pablo, Debbasch, Fabrice
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 coin-flip and a phase-flip channel, and (ii) a model with random coin
Externí odkaz:
http://arxiv.org/abs/1911.09791
Autor:
Arnault, Pablo
Un ordinateur quantique (OQ), i.e. utilisant les ressources de la physique Q, superposition et intrication, pourrait fournir un gain exponentiel de temps de calcul. Une simulation utilisant ces ressources est appelée simulation Q (SQ). L’avantage
Externí odkaz:
http://www.theses.fr/2017PA066135/document