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

Bruce M. Boghosian () and Washington Taylor ()
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Bruce M. Boghosian: Center for Computational Science, Boston University, 3 Cummington Street, Boston, Massachusetts 02215, USA
Washington Taylor: Department of Physics, Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544, USA

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 04, 705-716

Abstract: 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.

Keywords: Quantum Computation; Quantum Lattice-Gas Automata; Lattice-Gas Automata; Schrödinger Equation; Many-Body Quantum System; Quantum Simulations (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197000606

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