منابع مشابه
Quantization of Soliton Cellular Automata
A method of quantization of classical soliton cellular automata (QSCA) is put forward that provides a description of their time evolution operator by means of quantum circuits that involve quantum gates from which the associated Hamiltonian describing a quantum chain model is constructed. The intrinsic parallelism of QSCA, a phenomenon first known from quantum computers, is also emphasized.
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Take a cellular automaton, consider that each configuration is a basis vector in some vector space, and linearize the global evolution function. If lucky, the result could actually make sense physically, as a valid quantum evolution; but does it make sense as a quantum cellular automaton? That is the main question we address in this paper. In every model with discrete time and space, two things...
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An initial configurat ion of the filter cellular automaton introduced by Park, Steiglitz, and Thurston can be thought of as consisting of a number of particles. Here we present a complet e analysis of the evolution of single particles. In particular, conditions are given for th e existence of periodic particles, and the period is computed in terms of the initial data.
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A method of quantization of classical soliton cellular automata (QSCA) is put forward that provides a description of their time evolution operator by means of quantum circuits that involve quantum gates from which the associated Hamiltonian describing a quantum chain model is constructed. The intrinsic parallelism of QSCA, a phenomenon first known from quantum computers, is also emphasized. Int...
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We describe the A (1) 1 soliton cellular automata as an evolution of a poset. This allows us to explain the conservation laws for the A (1) 1 soliton cellular automata, one given by Torii, Takahashi and Satsuma, and the other given by Fukuda, Okado and Yamada, in terms of the stack permutations of states in a very natural manner. As a biproduct, we can prove a conjectured formula relating these...
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ژورنال
عنوان ژورنال: Journal of Non-linear Mathematical Physics
سال: 2001
ISSN: 1402-9251
DOI: 10.2991/jnmp.2001.8.supplement.17