nLab Dmitry Melnikov

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Selected writings

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

• Dmitry Melnikov, Andrei Mironov, Sergey Mironov, Alexei Morozov, Andrey Morozov: Towards topological quantum computer, Nucl. Phys. B926 (2018) 491-508 [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, doi:10.1007/JHEP07(2019)163]

On knots and (topological) quantum physics:

• Dmitry Melnikov: A Tutorial on Knots and Quantum Mechanics [arXiv:2503.08846]

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