Quantum computing is widely considered a frontier of interdisciplinary research and involves fields ranging from computer science to physics and from chemistry to engineering. On the one hand, the stochastic essence of quantum physics results in the random nature of quantum computing; thus, there is an important role for statistics to play in the development of quantum computing. On the other hand, quantum computing has great potential to revolutionize computational statistics and data science. This article provides an overview of the statistical aspect of quantum computing. We review the basic concepts of quantum computing and introduce quantum research topics such as quantum annealing and quantum machine learning, which require statistics to be understood.
This article was found by Majorana's brother among Ettore Majorana's files and was published in 1942 after Majorana's disappearance in the international Italian journal Scientia.It is a rather special article in several respects.It was intended to present the point of view of a physicist about the value of statistical laws in physics and social sciences to scholars of a broad spectrum of different disciplines such as sociology and economics.It also considers philosophical aspects related to the nature and value of deterministic and statistical laws in science.In his article, Majorana considers quantum mechanics as an irreducible statistical theory because the theory is not able to describe the time evolution of a single particle or atom in a controlled environment at a deterministic level.He concludes that quantum mechanics suggests that there is an "essential analogy between physics and the social sciences, between which an identity of value and method has turned out".By analyzing the messages of this paper we conclude that Majorana deserves a great tribute not only for his exceptional achievements in theoretical physics but also for his fresh and original views on the importance and role of statistical laws in physics and in other disciplines such as the social sciences.