Quantum Lattice-Gas Models for the Many-Body Schrödinger Equation
1997 ◽
Vol 08
(04)
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pp. 705-716
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Keyword(s):
The Many
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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.
2020 ◽
Vol 35
(06)
◽
pp. 2050033
2006 ◽
Vol 167
(3)
◽
pp. 515-614
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Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
2017 ◽
Vol 58
(1)
◽
pp. 1-8
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1990 ◽
Vol 23
(19)
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pp. 4269-4288
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