Quantum Physics without the Physics

TL;DR

This paper provides an accessible introduction to quantum physics concepts tailored for applied mathematicians and computer scientists, emphasizing mathematical foundations without requiring prior physics knowledge.

Contribution

It offers a comprehensive, physics-free explanation of quantum theory aimed at non-physicists, bridging gaps between mathematics and quantum physics understanding.

Findings

Clarifies fundamental quantum concepts for non-physicists

Provides mathematical background relevant to quantum theory

Serves as an educational resource for interdisciplinary learners

Abstract

This report explains the basic theory and common terminology of quantum physics without assuming any knowledge of physics. It was written by a group of applied mathematicians while they were reading up on the subject. The intended audience consists of applied mathematicians, computer scientists, or anyone else who wants to improve their understanding of quantum physics. We assume that the reader is familiar with fundamental concepts of linear algebra, differential equations, and to some extent the theory of Hilbert spaces. Most of the material can be found in the book by Nielsen and Chuang and in the lecture notes on open quantum systems by Lidar. Another excellent online source of information is Wikipedia, even though most of its articles on quantum physics assume a solid understanding of physics.