The second part of my topological QEC series is out, this time on homology, the main mathematical tool to compute the number of logical qubits of a quantum code! With many fun exercises to practice and prove the properties of some common topological codes! arthurpesah.me/blog/2026-06...

New blog post out! ✨ I give here a visual introduction to algebraic topology in the context of quantum error correction. You will learn about manifolds, cellulations, chain complexes, and their relation to CSS codes like the surface code. Enjoy! :) arthurpesah.me/blog/2026-05...

I’m very excited to advertise my first paper! scirate.com/arxiv/2510.0... Joint work with Tali Kaufman. This paper highlights progress in an effort to build the best qLDPC codes by using highly symmetric simplicial high dimensional expanders (HDX). There are also broader results about sheaf codes.

New paper out ✨ Fault-tolerant Transformation of Spacetime Codes, a collaboration w/ @vasmer.bsky.social, Austin Daniel & Ilan Tzitrin, which started during my internship @xanaduai.bsky.social scirate.com/arxiv/2509.0... Let's now see if I can summarize 101 pages (🙈) in a few tweets (and memes!)