A Non-Qubit Quantum Adder as One-Dimensional Cellular Automaton
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.
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
Electrical and Computer Engineering
Keywords and Phrases
Aharonov-Bohm effect; Cellular Automaton; Electronic transport; Quantum computing; Turing machine
International Standard Serial Number (ISSN)
Article - Journal
© 2014 Elsevier, All rights reserved.
01 Jan 2014