Speaker: Nikita Borisov

Abstract: Many popular science articles purport misconceptions about quantum computing, saying things like “quantum entanglement allows for faster-than-light communication” and “quantum computers use parallel realities to find a solution to any problem instantly.” In this talk, I hope to dispel these myths and instead give a mathematically rigorous, but accessible, introduction to the science. We will see connections to Hilbert spaces, complex projective spaces, and the Hopf fibration. In the end, I’ll show how a quantum computer can school a classical computer with an example problem/algorithm.