dorsal/arxiv
View SchemaA Quantum Lattice-Gas Model for the Many-Particle Schroedinger Equation
| Authors | Bruce M. Boghosian, Washington Taylor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604035 |
| URL | https://arxiv.org/abs/quant-ph/9604035 |
Abstract
We 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.
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"date_created": "2026-03-02T18:02:37.759000Z",
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"abstract": "We consider a general class of discrete unitary dynamical models on the\nlattice. We show that generically such models give rise to a wavefunction\nsatisfying a Schroedinger equation in the continuum limit, in any number of\ndimensions. There is a simple mathematical relationship between the mass of the\nSchroedinger particle and the eigenvalues of a unitary matrix describing the\nlocal evolution of the model. Second quantized versions of these unitary models\ncan be defined, describing in the continuum limit the evolution of a\nnonrelativistic quantum many-body theory. An arbitrary potential is easily\nincorporated into these systems. The models we describe fall in the class of\nquantum lattice gas automata, and can be implemented on a quantum computer with\na speedup exponential in the number of particles in the system. This gives an\nefficient algorithm for simulating general nonrelativistic interacting quantum\nmany-body systems on a quantum computer.",
"arxiv_id": "quant-ph/9604035",
"authors": [
"Bruce M. Boghosian",
"Washington Taylor"
],
"categories": [
"quant-ph",
"comp-gas",
"hep-lat",
"nlin.CG"
],
"title": "A Quantum Lattice-Gas Model for the Many-Particle Schroedinger Equation",
"url": "https://arxiv.org/abs/quant-ph/9604035"
},
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"execution_id": "9072d5e0-9355-4a4e-9e08-81aa40ed42aa",
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"type": "Model",
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