Posts

Twindragons and a Binary System for Complex Numbers

twindragon

number systems

fractals

This post is not about the standard binary number system, but it’s a decent place to start the discussion. In standard binary, every integer is represented by a…

Quantum Phase Estimation

quantum

qiskit

QFT

phase estimation

The story of quantum phase estimation starts with a unitary matrix \(U\). Suppose \(|x\rangle\) is an eigenvector of \(U\) so that \(U|x\rangle=\lambda|x\rangle\) for some…

Quantum Fourier transform

quantum

qiskit

QFT

The Fourier transform is a beautiful function with many important applications. There is a wonderful introduction to the Fourier transform by 3 Blue 1 Brown that is well worth watching. The following is a description of the quantum Fourier transform (QFT). After defining a closed formula for QFT, I will explain how to build the…

Qiskit: getting started

quantum

qiskit

Qiskit is an open source software…