When is a quantum cellular automaton (QCA) a quantum lattice gas automaton (QLGA)?

DOI10.1063/1.4821640zbMath1288.81028arXiv1209.5367OpenAlexW2090397268MaRDI QIDQ5409667

Asif Shakeel, Peter J. Love

Publication date: 14 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5367

zbMATH Keywords

quantum computationquantum cellular automataquantum lattice gas automata

Mathematics Subject Classification ID

Related Items (3)

History dependent quantum random walks as quantum lattice gas automata ⋮ Efficient and scalable quantum walk algorithms via the quantum Fourier transform ⋮ An overview of quantum cellular automata

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitarity plus causality implies localizability
• A soluble relativistic field theory
• Cellular automaton fluids. I: Basic theory
• From quantum cellular automata to quantum lattice gases
• Lattice Boltzmann equation for quantum mechanics
• Simulating quantum mechanics on a quantum computer.
• The challenge of quantum computer simulations of physical phenomena
• An exact energy conservation property of the quantum lattice Boltzmann algorithm
• On the absence of homogeneous scalar unitary cellular automata.
• When-and how-can a cellular automaton be rewritten as a lattice gas?
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• Lie groups. An approach through invariants and representations
• An example of the difference between quantum and classical random walks
• Locality and information transfer in quantum operations
• A three–dimensional lattice–gas model for amphiphilic fluid dynamics
• From gauge transformations to topology computation in quantum lattice gas automata
• A Decision Procedure for Unitary Linear Quantum Cellular Automata
• Convergence of a three-dimensional quantum lattice Boltzmann scheme towards solutions of the Dirac equation
• Universal Quantum Simulators
• One-Dimensional Quantum Cellular Automata over Finite, Unbounded Configurations
• Symmetry, Representations, and Invariants
• Lattice-Gas Cellular Automata
• Simulating quantum systems on a quantum computer
• Quantum mechanics of lattice gas automata: boundary conditions and other inhomogeneities
• A decision procedure for well-formed linear quantum cellular automata
• Algebraic Characterizations of Unitary Linear Quantum Cellular Automata

This page was built for publication: When is a quantum cellular automaton (QCA) a quantum lattice gas automaton (QLGA)?