On Quantum Cellular Automata
By Alexander Yu. Vlasov. arXiv.org, 2004
783 citations recorded by the source corpus.
In recent work [quant-ph/0405174] 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.
Subfields: Artificial Intelligence, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/7617e78f2a63f3044a2e7ec5156d7376b6b32819
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Citations in the corpus
- High-resolution electron beam lithography and DNA nano-patterning for molecular QCA (2005, background): “NANOPATTERNING OF DNA RAFTS As another approach to fabricate molecular QCA, we aim to create a self-assembled DNA lattice with maximally controlled heterogeneity for QCA cells [22].”
- Quantum walks: a comprehensive review (2012, background): “[262] have studied the relationship between quantum walks and cellular automata, Van Dam has shown [437] that it is possible to build a quantum cellular automaton capable of universal computation, and Gross et al.”
- Feedback-Linearized Inverse Feedforward for Creep, Hysteresis, and Vibration Compensation in AFM Piezoactuators (2007, background): “Therefore, high-precision high-speed control of the piezo positioner in SPMs is needed, for example, to enable QD cellular automata technologies for creating novel digital-logic devices [3].”
- Adder and Multiplier Design in Quantum-Dot Cellular Automata (2009, methodology): “Since QCAs were introduced in 1993 [2], several experimental devices have been developed [3], [4], [5], [6], [7].”
- Adder Designs and Analyses for Quantum-Dot Cellular Automata (2007, background): “Since it was first introduced in 1993 [2], experimental devices for semiconductor, molecular, and magnetic approaches have been developed [3]–[8].”