Intrinsically universal one-dimensional quantum cellular automata
نویسندگان
چکیده
We give a one-dimensional quantum cellular automata (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial configuration of the universal QCA. Several steps of the universal QCA will then correspond to one step of the simulated QCA. The simulation preserves the topology in the sense that each cell of the simulated QCA is encoded as a group of adjacent cells in the universal QCA. The encoding is linear and hence does not carry any of the cost of the computation.
منابع مشابه
Intrinsically universal n-dimensional quantum cellular automata
We describe an n-dimensional quantum cellular automaton (QCA) capable of simulating all others, in that the initial configuration and the forward evolution of any n-dimensional QCA can be encoded within the initial configuration of the universal QCA. Several steps of the universal QCA then correspond to one step of the simulated QCA. The simulation preserves the topology in the sense that each ...
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