At the heart of math, physics, and computing is Arithmetic, a field that has been around throughout all of human history. However, today quantum computers provide a completely new landscape for the field. The requirements of quantum systems means that many of the standard operations one would find on a classical ALU cannot be easily implemented on quantum circuits. In this talk, I will speak on some of the new ways programmers and researchers must think when implementing arithmetic operations on quantum computers. I will also explore how new ideas from Quantum Information Science like the QFT have led to new ways of doing arithmetic.
This is a Quantum Information Math RIT Seminar which is part of the larger MathQuantum RTG program at UMD.
https://mathquantum.umd.edu/rit/
(Please note that this talk starts at 4:05 pm).