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arXiv · 1911.02250

Electric circuits for universal quantum gates and quantum Fourier transformation

Motohiko Ezawa
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Abstract

Universal quantum computation may be realized based on quantum walk, by formulating it as a scattering problem on a graph. In this paper, we simulate quantum gates through electric circuits, following a recent report that a one-dimensional $LC$ electric circuit can simulate a Schr\"{o}dinger equation and hence a quantum walk. Especially, we propose a physical realization of a set of universal quantum gates consisting of the CNOT, Hadamard and $\pi /4$ phase-shift gates with the use of telegrapher wires and mixing bridges. Furthermore, we construct the $\pi /2^{n}$ phase-shift gate for an arbitrary integer $n$, which is an essential element to perform the quantum Fourier transformation and prime factorization based on the Shor algorithm. Our results will open a way to universal quantum computation based on electric circuits.

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Motohiko Ezawa. 2019-11-06. Electric circuits for universal quantum gates and quantum Fourier transformation. https://doi.org/10.1103/physrevresearch.2.023278

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