An exact energy conservation property of the quantum lattice Boltzmann algorithm

DOI10.1016/j.physleta.2011.10.014zbMath1255.81133OpenAlexW2052469118MaRDI QIDQ1933029

Paul J. Dellar

Publication date: 22 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.10.014

zbMATH Keywords

energy conservationdiscrete invariantsdiscrete time quantum walksquantum lattice Boltzmann algorithms

Mathematics Subject Classification ID

Related Items (3)

Quantum lattice algorithms: similarities and connections to some classic finite difference algorithms ⋮ Relativistic properties and invariants of the du fort-frankel scheme for the one-dimensional Schrödinger equation ⋮ When is a quantum cellular automaton (QCA) a quantum lattice gas automaton (QLGA)?

Uses Software

• LAPACK

Cites Work

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• A novel thermal model for the lattice Boltzmann method in incompressible limit
• From quantum cellular automata to quantum lattice gases
• Lattice Boltzmann equation for quantum mechanics
• Simulating quantum mechanics on a quantum computer.
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Experimental demonstration of quantum lattice gas computation
• Convergence of a three-dimensional quantum lattice Boltzmann scheme towards solutions of the Dirac equation
• Quantum mechanics of lattice gas automata: boundary conditions and other inhomogeneities
• Exactly Conservative Integrators
• Quantum computing classical physics
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• Decoherence in quantum walks – a review
• A general method for conserving quantities related to potential vorticity in numerical models

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