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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 79–82
(Mi semr18)
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Research papers
A note on codes and kets
M. Caragiu Ohio Northern University, Department of Mathematics
Abstract:
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 $C^{\perp}$.
Received April 25, 2005, published June 28, 2005
Citation:
M. Caragiu, “A note on codes and kets”, Sib. Èlektron. Mat. Izv., 2 (2005), 79–82
Linking options:
https://www.mathnet.ru/eng/semr18 https://www.mathnet.ru/eng/semr/v2/p79
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Statistics & downloads: |
Abstract page: | 135 | Full-text PDF : | 30 | References: | 32 |
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