Spin network setting of topological quantum computation. (English) Zbl 1133.81325
Summary: The spin network simulator model represents a bridge between (generalized) 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 \(\mathrm{SU}(2)\) state sum models, widely employed in discretizing TQFTs and quantum gravity in low spacetime dimensions.
References:
| [1] | Marzuoli A., Phys. Lett. 306 pp 79– · Zbl 1005.81015 · doi:10.1016/S0375-9601(02)01600-6 |
| [2] | Biedenharn L. C., Encyclopedia of Mathematics and its Applications 9, in: Coupling of N Angular Momenta: Recoupling Theory (1981) |
| [3] | DOI: 10.1142/0270 · doi:10.1142/0270 |
| [4] | DOI: 10.1142/9789812796226 · doi:10.1142/9789812796226 |
| [5] | DOI: 10.1063/1.533333 · Zbl 0984.83016 · doi:10.1063/1.533333 |
| [6] | DOI: 10.1090/S0273-0979-02-00964-3 · Zbl 1019.81008 · doi:10.1090/S0273-0979-02-00964-3 |
| [7] | Carbone G., Nucl. Phys. 595 pp 654– · Zbl 0972.82016 · doi:10.1016/S0550-3213(00)00729-X |
| [8] | DOI: 10.1016/S0012-365X(01)00418-6 · Zbl 0993.05064 · doi:10.1016/S0012-365X(01)00418-6 |
| [9] | Zanardi P., Phys. Lett. 264 pp 94– · Zbl 0949.81009 · doi:10.1016/S0375-9601(99)00803-8 |
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