Path-integral solution of the one-dimensional Dirac quantum cellular automaton

DOI10.1016/j.physleta.2014.09.020zbMath1343.81103arXiv1406.1021OpenAlexW2222681622WikidataQ62038690 ScholiaQ62038690MaRDI QIDQ305025

Alessandro Tosini, Paolo Perinotti, Nicola Mosco, Giacomo Mauro D'ariano

Publication date: 26 August 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1021

zbMATH Keywords

quantum walksDirac quantum cellular automatondiscrete path-integralquantum cellular automata

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

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Path-sum solution of the Weyl quantum walk in 3 + 1 dimensions ⋮ Weyl, Dirac and Maxwell quantum cellular automata ⋮ Mimicking the Hadamard discrete-time quantum walk with a time-independent Hamiltonian

Cites Work

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• Unitarity plus causality implies localizability
• Index theory of one dimensional quantum walks and cellular automata
• From quantum cellular automata to quantum lattice gases
• Lattice Boltzmann equation for quantum mechanics
• Quantum field as a quantum cellular automaton: the Dirac free evolution in one dimension
• The quantum field as a quantum computer
• Relativistic path integral as a lattice-based quantum algorithm
• Quantum random walks in one dimension
• The Dirac equation as a quantum walk: higher dimensions, observational convergence
• Exponential algorithmic speedup by a quantum walk
• Propagating quantum walks: the origin of interference structures
• One-dimensional quantum walks
• Asymptotic evolution of quantum walks with random coin
• Quantum Algorithms for the Triangle Problem
• Quantum Walk Algorithm for Element Distinctness