A Non-Qubit Quantum Adder as One-Dimensional Cellular Automaton

Author

Cheng-Hsiao Wu, Missouri University of Science and TechnologyFollow
C. A. Cain

Abstract

A complete quantum addition machine is presented and compared with methods employing unitary transformations first. A quantum half-adder circuit shown earlier can be implemented into each cell of a 1D cellular automaton. An electric Aharonov-Bohm effect version of the quantum circuit is used to illustrate this implementation. Whatever a quantum Turing machine can achieve is realized in the cellular automata architecture we propose here. The coherence requirement is limited to one cell area. The magnetic flux needed is 0.1Φ₀, corresponding to 0.414 mT for a ring area of 1 square micron or an electric potential of 0.414 mV at 1 ps with an energy dissipation of 0.041 eV per iteration.

Recommended Citation

C. Wu and C. A. Cain, "A Non-Qubit Quantum Adder as One-Dimensional Cellular Automaton," Physica E: Low-dimensional Systems and Nanostructures, vol. 59, pp. 244 - 247, Elsevier, Jan 2014.

The definitive version is available at https://doi.org/10.1016/j.physe.2014.01.021

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

Aharonov-Bohm effect; Cellular Automaton; Electronic transport; Quantum computing; Turing machine

International Standard Serial Number (ISSN)

1386-9477

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2014 Elsevier, All rights reserved.

Publication Date

01 Jan 2014