Fault tolerance calculations for clocked quantum-dot cellular automata devices

Khatun, Mahfuza; Barclay, Travis; Sturzu, Ioan; Tougaw, P. Douglas

doi:10.1063/1.2128473

Cited by 16 publications

(6 citation statements)

References 43 publications

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“…Several researchers have investigated fault tolerance properties and robustness of QCA logic gates by considering imperfect QCA cells. [23][24][25] So, it would be interesting to carry out similar studies for the proposed GQD QCA cells in the future.…”

Section: Resultsmentioning

confidence: 99%

Nanopatterned graphene quantum dots as building blocks for quantum cellular automata

Wang

Liu

2011

Nanoscale

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Quantum cellular automata (QCA) is an innovative approach that incorporates quantum entities in classical computation processes. Binary information is encoded in different charge states of the QCA cells and transmitted by the inter-cell Coulomb interaction. Despite the promise of QCA, however, it remains a challenge to identify suitable building blocks for the construction of QCA. Graphene has recently attracted considerable attention owing to its remarkable electronic properties. The planar structure makes it feasible to pattern the whole device architecture in one sheet, compatible with the existing electronics technology. Here, we demonstrate theoretically a new QCA architecture built upon nanopatterned graphene quantum dots (GQDs). Using the tight-binding model, we determine the phenomenological cell parameters and cell-cell response functions of the GQD-QCA to characterize its performance. Furthermore, a GQD-QCA architecture is designed to demonstrate the functionalities of a fundamental majority gate. Our results show great potential in manufacturing high-density ultrafast QCA devices from a single nanopatterned graphene sheet.

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Section: Resultsmentioning

confidence: 99%

Nanopatterned graphene quantum dots as building blocks for quantum cellular automata

Wang

Liu

2011

Nanoscale

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“…An extsended Hubbard model is used to describe the behavior of a QCA cell. For an array of cells, either the full Hamiltonian [61][62][63][64], or an approximation method, like Inter-cellular Hartree Approximation (ICHA) [3], can be used. As fully described in [65], this work will use the ICHA method and the following Hamiltonian for a single QCA cell (Equation 1).…”

Section: Theory and Methodologymentioning

confidence: 99%

“…In previous work, we have introduced graphical, analytical, and simulation models for the study of fault-tolerance characteristics of a QCA device [62][63][64][65][66][67][68]. A brief description will be given in this article.…”

Section: Theory and Methodologymentioning

confidence: 99%

Defect and Temperature Effects on Complex Quantum-Dot Cellular Automata Devices

Khatun¹,

Padgett²,

Anduwan³

et al. 2013

JAMP

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The authors present an analysis of the fault tolerant properties and the effects of temperature on an exclusive OR (XOR) gate and a full adder device implemented using quantum-dot cellular automata (QCA) structures. A Hubbard-type Hamiltonian and the Inter-cellular Hartree approximation have been used for modeling, and a uniform random distribution has been implemented for the simulated dot displacements within cells. We have shown characteristic features of all four possible input configurations for the XOR device. The device performance degrades significantly as the magnitude of defects and the temperature increase. Our results show that the fault-tolerant characteristics of an XOR device are highly dependent on the input configurations. The input signal that travels through the wire crossing (also called a crossover) in the central part of the device weakens the signal significantly. The presence of multiple wire crossings in the full adder design has a major impact on the functionality of the device. Even at absolute zero temperature, the effect of the dot displacement defect is very significant. We have observed that the breakdown characteristic is much more pronounced in the full adder than in any other devices under investigation.

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“…3 From that date it has been discussed various models of quantum cellular automata (QCA) and its implementation for solving particular problems of computation. [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] An interesting type of model is to build a one-dimensional QCA architecture, with more than one qubit per cell, 24 25 which would be unaffected by the "no-go lemma" 26 which establishes that, except for the trivial case, the unitary evolution in a onedimensional QCA is not possible. In this work we discuss, from the theoretical point of view, the implementation on a physical system, of a model that belongs to this latter type with some important variations.…”

Section: Introductionmentioning

confidence: 99%

Evolution of Quantum Cellular Automata in Graphene Nanoribbons

León¹,

Barticevic²,

Pacheco³

2012

Jnl of Comp & Theo Nano

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This paper presents a theoretical study of the implementation of an architecture of a quantum cellular automaton on a graphene nanoribbon. The cells of the automaton are made up by 13 C atoms and hydrogen atoms and the interaction between neighboring cells corresponds to the indirect coupling between nuclear spins. We have determined the relevant parameters characterizing the physical system for nuclear magnetic resonance and from knowledge of these parameters we have designed control protocols to study the evolution of the information through the quantum cellular automaton. Our results show that a graphene nanoribbon enriched with atoms of 13 C stores and processes quantum information in times less than the corresponding system decoherence times.

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Fault tolerance calculations for clocked quantum-dot cellular automata devices

Cited by 16 publications

References 43 publications

Nanopatterned graphene quantum dots as building blocks for quantum cellular automata

Nanopatterned graphene quantum dots as building blocks for quantum cellular automata

Defect and Temperature Effects on Complex Quantum-Dot Cellular Automata Devices

Evolution of Quantum Cellular Automata in Graphene Nanoribbons

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