Quantum mechanics of lattice gas automata: boundary conditions and other inhomogeneities
نویسندگان
چکیده
منابع مشابه
Quantum Mechanics of Lattice Gas Automata Ii. Boundary Conditions and Other Inhomogeneities
We continue our analysis of the physics of quantum lattice gas automata (QLGA). Previous work has been restricted to periodic or in nite lattices; simulation of more realistic physical situations requires nite sizes and non-periodic boundary conditions. Furthermore, envisioning a QLGA as a nanoscale computer architecture motivates consideration of inhomogeneities in the `substrate'; this transl...
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One-dimensional particle states are constructed according to orthogonality conditions, without requiring boundary conditions. Free particle states are constructed using Dirac’s delta function orthogonality conditions. The states (doublets) depend on two quantum numbers: energy and parity (”+” or ”-”). With the aid of projection operators the particles are confined to a constrained region, in a ...
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Quantum Random Walks (QRW) were first defined as one-particle sectors of Quantum Lattice Gas Automata (QLGA). Recently, they have been generalized to include history dependence, either on previous coin (internal, i.e., spin or velocity) states or on previous position states. These models have the goal of studying the transition to classicality, or more generally, changes in the performance of q...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1998
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/31/10/009