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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.
1mo
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Research blog
arthurpesah.me
The topology of topological QEC I — Manifolds and complexes
Arthur Pesah
Kyle Gulshen
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
Quantum Tanner Color Codes on Qubits with Transversal Gates