Cellular Structures for Computation in the Quantum Regime

Physics – Condensed Matter

Scientific paper

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11 pages (LaTeX), 3 figures

Scientific paper

10.1103/PhysRevA.60.4334

We present a new cellular data processing scheme, a hybrid of existing cellular automata (CA) and gate array architectures, which is optimized for realization at the quantum scale. For conventional computing, the CA-like external clocking avoids the time-scale problems associated with ground-state relaxation schemes. For quantum computing, the architecture constitutes a novel paradigm whereby the algorithm is embedded in spatial, as opposed to temporal, structure. The architecture can be exploited to produce highly efficient algorithms: for example, a list of length N can be searched in time of order cube root N.

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