超导电路的量子化方法

THE QUANTIZATION METHOD OF SUPERCONDUCTING CIRCUIT

超导量子计算是当下世界范围内被广泛关注的研究课题之一,近年来许多文献报道了利用超导量子比特对特定物理过程的研究和仿真,在新近的一些工作里其应用范围已经超出了物理学研究范围,在化学、信息学等领域也得到了很好的结果。超导量子计算器件首先要对超导电路进行量子化。本文针对超导量子计算芯片(量子比特)中的超导电路总结了一套规范、实用的量子化方法,并以此方法对位相量子比特超导电路进行了量子化并给出了其哈密顿量。本文思路与方法对新型量子比特或其他超导电路的设计与研究也有一定帮助。

Superconducting quantum computing is a research topic that has been widely concerned in the world.In recent years,many literatures have reported the research and simulation of specific physical processes by using superconducting qubits.In some recent work,its application scope has gone beyond the scope of physical research,and good results have been obtained in the fields of chemistry and informatics.The first step of superconducting quantum calculator is to quantize the superconducting circuit.In this paper,a standard and practical quantization methods for superconducting circuits in superconducting quantum computing chips(qubits)are proposed.Based on this method,the phase qubit superconducting circuits are quantized and their Hamiltonian is given.The ideas and methods in this paper are also helpful to the design and research of new qubit or other superconducting circuits.