A Quantum Lattice-Gas Model for the Many-Particle Schroedinger Equation

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dc.creatorBoghosian, Bruce M.
dc.creatorTaylor, Washington
dc.date1996-04-29
dc.date1997-01-16
dc.date.accessioned2026-07-07T09:08:53Z
dc.date.available2026-07-07T09:08:53Z
dc.descriptionWe consider a general class of discrete unitary dynamical models on the lattice. We show that generically such models give rise to a wavefunction satisfying a Schroedinger equation in the continuum limit, in any number of dimensions. There is a simple mathematical relationship between the mass of the Schroedinger particle and the eigenvalues of a unitary matrix describing the local evolution of the model. Second quantized versions of these unitary models can be defined, describing in the continuum limit the evolution of a nonrelativistic quantum many-body theory. An arbitrary potential is easily incorporated into these systems. The models we describe fall in the class of quantum lattice gas automata, and can be implemented on a quantum computer with a speedup exponential in the number of particles in the system. This gives an efficient algorithm for simulating general nonrelativistic interacting quantum many-body systems on a quantum computer.
dc.description19 pages LaTeX, one illustration
dc.identifierhttps://arxiv.org/abs/quant-ph/9604035
dc.identifierhttp://arxiv.org/abs/quant-ph/9604035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150885
dc.subjectQuantum Physics
dc.subjectCellular Automata and Lattice Gases
dc.subjectHigh Energy Physics - Lattice
dc.titleA Quantum Lattice-Gas Model for the Many-Particle Schroedinger Equation
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