121 citations · 506 across the 41 of their papers we have counts for
43 papers
Geometry-optimized hyperbolic codes for modular fault-tolerant quantum architectures
Ahmed Adel Mahmoud, Steven Rayan
Quantum fault tolerance is a prerequisite to harness the full potential of quantum computers. However, achieving fault tolerance remains a major challenge since it requires optimiz…
Beyond -Theory: Geometry and Holomorphy in Hyperbolic Band Theory
Steven Rayan
Topological -theory supplies the decisive stable classification principle for gapped free-fermion phases in Euclidean crystals once symmetry and stabilization are fixed. In hype…
Diffeological non-Abelian Hodge theory: relative harmonic metrics and deformation theory
Mahmud Azam, Steven Rayan
Let be a compact Kähler manifold. In prior work, we constructed diffeological moduli stacks of Higgs and flat bundles on , related by extension completion of smooth harmonic…
A diagrammatic field theory of quantum error correction
Steven Rayan
We develop a field-theoretic framework for quantum error correction centred on fusion-space codes in unitary fusion categories. Admissible clusters determine total-charge sectors a…
A diffeological perspective on non-Abelian Hodge theory
Mahmud Azam, Steven Rayan
We construct diffeological moduli stacks and parametrizing smooth families of Higgs bundles and those of flat bundles, respectively, on…
Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards Entanglement-Sensitive Langlands Data
Kazuki Ikeda, Steven Rayan
Using the spinless Haldane model, we study the witness-filtered Berry curvature, quantum geometric tensor, and quantum Fisher information on the gapped strata of the parameter spac…