论文标题
通用量子门的狄拉克公式和高频电路中的整数分解
Dirac formulation for universal quantum gates and Shor's integer factorization in high-frequency electric circuits
论文作者
论文摘要
使用电路可以使用量子计算。特别是，可以通过传输线的集体元素模型来模拟Schrödinger方程，该模型适用于低频电路。在本文中，我们表明Dirac方程是由分布式元素模型模拟的，该模型适用于高频电路。然后，一组通用量子门（Hadamard，相移和CNOT门）由传输线制成的网络构建。我们根据电路证明了Shor的主要分解。只需设计金属线网络，就可以模拟任何量子算法。
Quantum computation may well be performed with the use of electric circuits. Especially, the Schrödinger 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.
