Quantum computation may well be performed with the use of electric circuits. Especially, the Schrodinger equation can be simulated by the lumped-element model of transmission lines, which is applicable to low-frequency electric circuits. In this paper, we show that the Dirac equation is simulated by the distributed-element model, which is applicable to high-frequency electric circuits. Then, a set of universal quantum gates (the Hadamard, phase-shift and CNOT gates) are constructed by networks made of transmission lines. We demonstrate Shor's prime factorization based on electric circuits. It will be possible to simulate any quantum algorithms simply by designing networks of metallic wires.

中文翻译：

---

通用量子门的狄拉克公式和高频电路中的 Shor 整数因式分解

使用电路可以很好地进行量子计算。特别是薛定谔方程可以用传输线的集总元件模型进行模拟，适用于低频电路。在本文中，我们展示了 Dirac 方程是由分布式元件模型模拟的，适用于高频电路。然后，由传输线组成的网络构建了一组通用量子门（Hadamard、相移和 CNOT 门）。我们演示了基于电路的 Shor 素因数分解。只需通过设计金属线网络就可以模拟任何量子算法。