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Cellular Structures for Computation in the Quantum Regime

S. C. Benjamin·N. F. Johnson
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Abstract

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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S. C. Benjamin, N. F. Johnson. 1998-08-21. Cellular Structures for Computation in the Quantum Regime. https://doi.org/10.1103/physreva.60.4334

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