Geodesic
A~note on codes and kets
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 79-82.

Voir la notice de l'article provenant de la source Math-Net.Ru

To every binary linear $[n,k]$ code $C$ we associate a quantum state $|\Psi_C\rangle\in H^{\otimes n}$, where $H$ is the two-dimensional complex Hilbert space associated to the spin $\frac12$ particle. For the state $|\Psi_C\rangle$ we completely characterize all the expectation values of the products of spins measured, for each one out of the $n$ particles, either in the $x$- or in the $y$-direction. This establishes an interesting relationship with the dual code $C^{\perp}$. 
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M. Caragiu. A~note on codes and kets. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 79-82. http://geodesic.mathdoc.fr/item/SEMR_2005_2_a5/

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[3] J. H. van Lint, Introduction to Coding Theory, Third Edition, Springer Verlag, 1999 | MR

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