608 citations · 2k across the 55 of their papers we have counts for
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Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory
Filippo Iulianelli, Sung Kim, Joshua Sussan +1
We propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2+1 dimensions. These enhanced the…
Spectral 2-actions, foams, and frames in the spectrification of Khovanov arc algebras
Anne Dranowski, Meng Guo, Aaron Lauda +1
Leveraging skew Howe duality, we show that Lawson-Lipshitz-Sarkar's spectrification of Khovanov's arc algebra gives rise to 2-representations of categorified quantum groups over $\…
Density and unitarity of the Burau representation from a non-semisimple TQFT
Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand +1
We study the density of the Burau representation from the perspective of a non-semisimple TQFT at a fourth root of unity. This gives a TQFT construction of Squier's Hermitian form…