Quantum lattice-gas model for the many-particle Schrödinger equation inddimensions

1998 ◽  
Vol 57 (1) ◽  
pp. 54-66 ◽  
Author(s):  
Bruce M. Boghosian ◽  
Washington Taylor
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Lattice Gas ◽  
Lattice Gas Model ◽  
Quantum Lattice ◽  
Quantum Lattice Gas ◽  
The Many

scholarly journals Quantum Lattice-Gas Models for the Many-Body Schrödinger Equation

1997 ◽  
Vol 08 (04) ◽  
pp. 705-716 ◽  
Author(s):  
Bruce M. Boghosian ◽  
Washington Taylor
Keyword(s):  
Schrödinger Equation ◽  
Arbitrary Number ◽  
Schrodinger Equation ◽  
Lattice Gas ◽  
Quantum Computer ◽  
Many Body ◽  
Lattice Gas Models ◽  
Many Body Systems ◽  
The Many ◽  
Classical Computer

A general class of discrete unitary models are described whose behavior in the continuum limit corresponds to a many-body Schrödinger equation. On a quantum computer, these models could be used to simulate quantum many-body systems with an exponential speedup over analogous simulations on classical computers. On a classical computer, these models give an explicitly unitary and local prescription for discretizing the Schrödinger equation. It is shown that models of this type can be constructed for an arbitrary number of particles moving in an arbitrary number of dimensions with an arbitrary interparticle interaction.

Quantum-Lattice-Gas Model forHe3-He4Mixtures

1973 ◽  
Vol 7 (5) ◽  
pp. 1771-1781 ◽  
Author(s):  
Y. -C. Cheng ◽  
M. Schick
Keyword(s):  
Lattice Gas ◽  
Lattice Gas Model ◽  
Quantum Lattice ◽  
Quantum Lattice Gas
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