nLab Nikita Kolganov

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Selected writings

On topological quantum computation with Chern-Simons theory via quantum R-matrices:

• Nikita Kolganov, Andrey Morozov: Quantum $\mathcal{R}$-matrices as universal qubit gates, Pis’ma v ZhETF, 111, N9 (2020) [doi:10.1134/S0021364020090027, arXiv:2004.07764]

On universality of braid quantum gates of su(2)-anyons at higher level $k$ (and also for $SU(N)$-anyons with $N \gt 2$):

• Nikita Kolganov, Sergey Mironov, Andrey Morozov, Large $k$ topological quantum computer, Nuclear Physics B

  987 (2023) 116072 [arXiv:2105.03980, doi:10.1016/j.nuclphysb.2023.116072]

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