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Zbl 1072.81013
Marzuoli, Annalisa; Rasetti, Mario
Computing spin networks.
(English)
[J] Ann. Phys. 318, No. 2, 345-407 (2005). ISSN 0003-4916

The paper proposes a general setting for the quantum structure of quantum information. The framework is a non-Boolean generalization of the quantum circuit model based on a combinatorial approach to spin networks. After a careful description of computational Hilbert spaces, gates are defined as unitary transformations on these spaces. If the spin network quantum circuit is defined, one deals with semi-classical and SU(2) state sum models on the one hand, and spin network together with topological quantum computation, on the other hand.
[Guy Jumarie (Montréal)]
MSC 2000:
*81P68 Quantum computation and quantum cryptography
81T45 Topological field theories

Keywords: quantum computation; spin networks; topological quantum field theory

Cited in: Zbl 1120.68054

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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