Quantum computing has received significant amounts of interest from many different research communities over the last few years. Although there are many introductory texts that focus on the algorithmic parts of quantum computing, there is a dearth of publications that describe the modeling, calibration and operation of current quantum computing devices. One aim of this report is to fill that void by providing a case study that walks through the entire procedure from the characterization and optimal control of a qudit device at Lawrence Livermore National Laboratory (LLNL) to the validation of the results. A goal of the report is to provide an introduction for students and researchers, especially computational mathematicians, who are interested in but new to quantum computing. Both experimental and mathematical aspects of this procedure are discussed. We present a description of the LLNL QuDIT testbed, the mathematical models that are used to describe it, and the numerical methods that are used to to design optimal controls. We also present experimental and computational methods that can be used to characterize a quantum device. Finally, an experimental validation of an optimized control pulse is presented, which relies on the accuracy of the characterization and the optimal control methodologies.
翻译:过去几年来,许多不同研究群体对量子计算法部分的兴趣很大,尽管有许多介绍性案文以量子计算法部分为重点,但缺乏描述当前量子计算装置的模型、校准和运行的出版物。本报告的一个目的是填补这一空白,通过提供案例研究,从劳伦斯·利弗莫尔国家实验室(LLNL)的吞吐装置特征和最佳控制到验证结果的整个程序,从鉴定和最佳控制到设计最佳控制。报告的一个目标是向对量子计算感兴趣的学生和研究人员,特别是计算数学家介绍情况。最后,对最佳控制脉冲的实验性鉴定,要依赖定性的准确性和最佳控制方法。