Design of 3-D quantum-dot cellular automata adders

Liu, Weiqiang; Swartzlander, Earl E.

doi:10.1587/elex.12.20150195

Cited by 2 publications

(2 citation statements)

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“…Moreover, 3D geometries are experimentally formed in a 5×5×5 array, and each qubit can interact with up to six adjacent qubits [33,41]. Moreover, an efficient method of producing 3D geometries, using quantum cellular automata and pulse driven quantum computer was introduced recently [42]. In this paper, the abstraction model of 3D technology shown in figure 3 is used.…”

Section: Introductionmentioning

confidence: 99%

Mapping quantum circuits on 3D nearest-neighbor architectures

Farghadan

Mohammadzadeh

2019

Quantum Sci. Technol.

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In some quantum technologies, an interaction is only allowed between physically adjacent qubits, hence the nearest-neighbor requirement is needed. In such technologies, quantum gates are limited to operate on adjacent qubits. To make a quantum circuit compliant with the nearest-neighbor requirement, SWAP gates are inserted into the circuit to move the interacting qubits of a gate to be adjacent to each other. The mapping of qubits on the physical environment has an important role on reducing the number of SWAP gates and thus the circuit latency. Focusing on this issue, in this paper, a method is proposed that maps a quantum circuit onto a 3D physical hardware such as a 3D optical lattice. A new methodology for this mapping problem is proposed based on a complex network spectral clustering algorithm and graph theory, which are suitable for very large scale networks. It includes three steps: finding the order of qubit mapping, placing physical qubits, and routing. Simulation results show that the proposed mapping approach not only decreases the average number of SWAP gates by about 37% but also improves the average runtime by about 87% for the 2D architecture compared to PAQCS. Moreover, it reduces the average number of SWAP gates for the 3D architecture by 17.1% compared to the best studies in the literatures.

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Section: Introductionmentioning

confidence: 99%

Mapping quantum circuits on 3D nearest-neighbor architectures

Farghadan

Mohammadzadeh

2019

Quantum Sci. Technol.

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“…With this logical expression for FA, the three‐layer FA was also designed [3, 4]. In addition, several FAs with different layouts have only been implemented with three‐input majority voters and inverters [5–13]. With the varieties of logical expressions for FAs, the circuits can also be designed with other logic units, for instance, five‐input majority voters [14–27], three‐input exclusive‐OR (TIEO) gate [28] and exclusive OR gates [29].…”

Section: Introductionmentioning

confidence: 99%