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Complex Syst., 1988
Cellular automata research was extended into the region of quantum mechanics, which extension was necessitated by smaller size of automaton machines so that quantum effects cannot be neglected. The uncertainty whether the value at a given site is 0 or 1 at a given instant of time is expressed by introducing probability amplitudes.
Gerhard Grössing, Anton Zeilinger
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Cellular automata research was extended into the region of quantum mechanics, which extension was necessitated by smaller size of automaton machines so that quantum effects cannot be neglected. The uncertainty whether the value at a given site is 0 or 1 at a given instant of time is expressed by introducing probability amplitudes.
Gerhard Grössing, Anton Zeilinger
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Quantum cellular automata: A corrigendum
Complex Syst., 1988Correction concerned with ibid. 2, No.2, 197-208 (1988; Zbl 0661.68050).
Gerhard Grössing, Anton Zeilinger
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Quantum-Dot cellular automata divider
2017 6th Mediterranean Conference on Embedded Computing (MECO), 2017One of the most important mathematical operations is division. An efficient divider can be of great assistance in designing arithmetic circuits. The Quantum cellular automata (QCA) is an encouraging technology which seems to be a good successor of existing digital systems.
Samedin Krrabaj +2 more
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Quantum Walks and Quantum Cellular Automata
2008The quantum walk is a generalization of classical random walks. Considerable work has been recently investigated on quantum walks in connection with quantum computing. The walk can be considered as a class of quantum cellular automata. There exists a one-to-one correspondence between them in a more general setting. Moreover we consider another class of
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Design of a cellular automata cell with rule 30 on quantum-dot cellular automata
Proceedings of the 29th Annual ACM Symposium on Applied Computing, 2014This paper designs and simulates a cellular automata (CA) cell with rule 30 on quantum-dot cellular automata (QCA). In order to implement a cell on QCA, we use Shamsabadi et al.'s D Flip-flop, a new XOR logic gate in QCADesigner. The simulation result shows that outputs of the proposed design for corresponding inputs are correct with high polarization,
Sang-Ho Shin +3 more
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Progress in Quantum Electronics, 2001
There has been increasing concern in recent years that the limits of what can be achieved with current approaches to improving device performance will soon be reached. Quantum-dot cellular automata (QCA) have been proposed as a means of getting around these limitations. This paper reviews the work done concerning QCA to date.
T. Cole, J.C. Lusth
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There has been increasing concern in recent years that the limits of what can be achieved with current approaches to improving device performance will soon be reached. Quantum-dot cellular automata (QCA) have been proposed as a means of getting around these limitations. This paper reviews the work done concerning QCA to date.
T. Cole, J.C. Lusth
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One-Dimensional Quantum Cellular Automata.
Int. J. Unconv. Comput., 2011We define and study quantum cellular automata (QCA). We show that they are reversible and that the neighborhood of the inverse is the opposite of the neighborhood. We also show that QCA always admit, modulo shifts, a two-layered block representation. Note that the same two-layered block representation result applies also over infinite configurations ...
Arrighi, Pablo +2 more
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On one-dimensional quantum cellular automata
Proceedings of IEEE 36th Annual Foundations of Computer Science, 2002Since Richard Feynman introduced the notion of quantum computation in 1982, various models of "quantum computers" have been proposed (R. Feynman, 1992). These models include quantum Turing machines and quantum circuits. We define another quantum computational model, one dimensional quantum cellular automata, and demonstrate that any quantum Turing ...
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Structures in quantum cellular automata
Physica B+C, 1988Abstract For cellular automaton machines getting increasingly smaller in size, a regime will be entered where effects due to matter waves may become dominant. Studying the evolution of one-dimensional and locally interacting cellular automata governed by generalized quantum mechanical rules, we discuss irreversibility as it appears in the evolution ...
Gerhard Grössing, Anton Zeilinger
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Quantum-dot cellular automata: computing by filed polarization
Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451), 2003As CMOS technology continues its monotonic shrink, computing with quantum dots remains a goal in nanotechnology research. Quantum-dot cellular automata (QCA) is a paradigm for low-power, high-speed, highly dense computing that could be realized in a variety of materials systems.
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