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The Lattice Boltzmann EquationFor Complex States of Flowing Matter$
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Sauro Succi

Print publication date: 2018

Print ISBN-13: 9780199592357

Published to Oxford Scholarship Online: June 2018

DOI: 10.1093/oso/9780199592357.001.0001

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Quantum Lattice Boltzmann (QLB)

Quantum Lattice Boltzmann (QLB)

(p.621) 32 Quantum Lattice Boltzmann (QLB)
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

The Lattice Boltzmann concepts and applications described so far refer to classical, i.e., non-quantum physics. However, the LB formalism is not restricted to classical Newtonian mechanics and indeed an LB formulation of quantum mechanics, going by the name of quantum LB (QLB) has been in existence for more than two decades. Even though it would far-fetched to say that QLB represents a mainstream, in the recent years it has captured some revived interest, mostly on account of recent developments in quantum-computing research. This chapter provides an account of the QLB formulation: stay tuned, LBE goes quantum!

Keywords:   quantum mechanics, Schrodinger equation, Dirac equation, quantum computing, entanglement

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