nLab Dmitry Melnikov (changes)

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Selected writings

On topological quantum computation with Chern-Simons theory (e.g. with su(2)-anyons ): ) viaquantum R-matrices:

• Dmitry Melnikov, Andrei Mironov, Sergey Mironov, Alexei Morozov, Andrey Morozov , :Towards topological quantum computer , Nucl. Phys. B926 (2018) 491-508 ( [arXiv:1703.00431, doi:10.1016/j.nuclphysb.2017.11.016 ) ,arXiv:1703.00431]

On computational complexity of knot quantum states of Chern-Simons theory:

• Giancarlo Camilo, Dmitry Melnikov, Fábio Novaes, Andrea Prudenziati: Circuit Complexity of Knot States in Chern-Simons theory, J. High Energ. Phys. 2019 163 (2019) [[arXiv:1903.10609](https://arxiv.org/abs/1903.10609), doi:10.1007/JHEP07(2019)163]

On knots and (topological) quantum physics:

• Dmitry Melnikov: A Tutorial on Knots and Quantum Mechanics [[arXiv:2503.08846](https://arxiv.org/abs/2503.08846)]

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