The third blog post of my topological QEC series is out! You will learn about cochain complexes and their geometrical interpretation, cohomology groups, the universal coefficient theorem, Poincaré duality, and the QEC interpretation of all this! Enjoy! arthurpesah.me/blog/2026-07...

The topology of topological QEC III — Cohomology groups

Research blog

arthurpesah.me

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...

The topology of topological QEC II — Homology groups

Research blog

arthurpesah.me

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...

The topology of topological QEC I — Manifolds and complexes

Research blog

arthurpesah.me

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.

Quantum Tanner Color Codes on Qubits with Transversal Gates

This work focuses on growing our understanding of how high dimensional expanders (HDX) can be utilized to construct highly performant quantum codes. While asymptotically good qLDPC codes have been con...

scirate.com

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!)