On Quantum Cellular Automata
نویسنده
چکیده
In recent work [1] by Schumacher and Werner was discussed an abstract algebraic approach to a model of reversible quantum cellular automata (CA) on a lattice. It was used special model of CA based on partitioning scheme and so there is a question about quantum CA derived from more general, standard model of classical CA. In present work is considered an approach to definition of a scheme with “history,” valid for quantization both irreversible and reversible classical CA directly using local transition rules. It is used language of vectors in Hilbert spaces instead of C∗-algebras, but results may be compared in some cases. Finally, the quantum lattice gases, quantum walk and “bots” are also discussed briefly.
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عنوان ژورنال:
- CoRR
دوره quant-ph/0406119 شماره
صفحات -
تاریخ انتشار 2004