On key tools for simulating Hamiltonians — TL;DR Exact diagonalization is a common numerical technique employed to simulate Hamiltonians. It leverages the well-known linear algebraic process of diagonalization — whereby you factorize the Hamiltonian into its action with respect to its eigenbasis (finding all eigen[states/values] en route). Read on to find out how. The overarching objective is…

Connecting the dots between QC and condensed matter physics — As one of the keystone models in condensed matter physics, the Hubbard model provides crucial insights into electronic and magnetic properties of solid materials. …

A gentle introduction to QGANs — Edit: I authored a more complete version of this article with an accompanying tutorial showing you how to build a QGAN. In February 2022, the chapter was published in the new Qiskit Machine Learning course, you may find it here. CGAN, LAPGAN, DCGAN, GRAN, InfoGAN, BiGAN… Those are all variants…

Phase kickback and Bernstein-Vaz algorithm — This one is technical. Feeling rusty on your quantum computing fundamentals? Don’t read it. Save it. Bookmark this article for later when you’ve brushed up. You’ll be glad you did, especially if you’re a beginner in QC and trying to understand phase kickback. I’m thinking of a number in binary. …

An intuitive approach from absolute scratch — 7 hours. That’s how long it took me to understand what phase really is. I’m writing this so that you can achieve the same level of understanding in 11 mins. So what is it? Sit tight, and I’ll cover everything, I promise. The struggle you might have faced at first…

What are they, and why do they exist? — This one is a bit technical. If you’re feeling rusty on your QC fundamentals, don’t read it. Save it. Bookmark this article for later when you’ve brushed up. You’ll be glad you did, especially if you want to understand QCS. Compare a light bulb to a candle. The former isn’t…