nLab Samuel J. Lomonaco

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Selected writings

On Lord Kelvin‘s ideas “On Vortex Atoms” in view of classical electromagnetism:

• Samuel Lomonaco, The modern legacies of Thomson’s atomic vortex theory in classical electrodynamics, in: Louis Kauffman (ed.) The Interface of Knots and Physics, Proceedings of Symposia in Applied Mathematics, Volume 51 (1996) (pdf, doi:10.1090/psapm/051)

On quantum computation:

• Samuel J. Lomonaco (ed.), Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, Proceedings of Symposia in Applied Mathematics 58, AMS (2002) [doi:10.1090/psapm/058]

On topological quantum computation with anyons/braid group statistics (braid group representations):

• Louis H. Kauffman, Samuel J. Lomonaco, Braiding Operators are Universal Quantum Gates, New Journal of Physics, Volume 6, January 2004 (arXiv:quant-ph/0401090, doi:10.1088/1367-2630/6/1/134)

• Samuel J. Lomonaco, Louis Kauffman, Topological Quantum Computing and the Jones Polynomial, Proc. SPIE 6244, Quantum Information and Computation IV, 62440Z (12 May 2006) (arXiv:quant-ph/0605004)

• Louis H. Kauffman, Samuel J. Lomonaco, Topological quantum computing and $SU(2)$ braid group representations, Proceedings Volume 6976, Quantum Information and Computation VI; 69760M (2008) (doi:10.1117/12.778068, rg:228451452)

On quantum computation and more generally on quantum systems:

• Goong Chen, Louis Kauffman, Samuel J. Lomonaco (eds.), Mathematics of Quantum Computation and Quantum Technology, Chapman and Hall/CRC (2007) (ISBN:9780367388614, doi:10.1201/9781584889007)

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