Spin network setting of topological quantum computation
Quantum Physics
2009-01-06 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The spin network simulator model represents a bridge between (generalised) circuit schemes for standard quantum computation and approaches based on notions from Topological Quantum Field Theories (TQFTs). The key tool is provided by the fiber space structure underlying the model which exhibits combinatorial properties closely related to SU(2) state sum models, widely employed in discretizing TQFTs and quantum gravity in low spacetime dimensions.
Cite
@article{arxiv.quant-ph/0407119,
title = {Spin network setting of topological quantum computation},
author = {Annalisa Marzuoli and Mario Rasetti},
journal= {arXiv preprint arXiv:quant-ph/0407119},
year = {2009}
}
Comments
Proc. "Foundations of Quantum Information", Camerino (Italy), 16-19 April 2004, to be published in Int. J. of Quantum Information