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 Fundam. Prikl. Mat.: Year: Volume: Issue: Page: Find

 Fundam. Prikl. Mat., 2012, Volume 17, Issue 5, Pages 69–73 (Mi fpm1434)

On the geometry of two qubits

T. E. Krenkel

Moscow Technical University of Communications and Informatics

Abstract: Two qubits are considered as a spinor in the four-dimensional complex Hilbert space that describes the state of a four-level quantum system. This system is basic for quantum computation and is described by the generalized Pauli equation including the generalized Pauli matrices. The generalized Pauli matrices constitute the finite Pauli group $\mathcal P_2$ for two qubits of order $2^6$ and nilpotency class $2$. It is proved that the commutation relation for the Pauli group $\mathcal P_2$ and the incidence relation in an Hadamard $2$-$(15,7,3)$ design give rise to equivalent incidence matrices.

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English version:
Journal of Mathematical Sciences (New York), 2013, 193:4, 526–529

UDC: 512.544.33+519.1+519.145.4

Citation: T. E. Krenkel, “On the geometry of two qubits”, Fundam. Prikl. Mat., 17:5 (2012), 69–73; J. Math. Sci., 193:4 (2013), 526–529

Citation in format AMSBIB
\Bibitem{Kre12} \by T.~E.~Krenkel \paper On the geometry of two qubits \jour Fundam. Prikl. Mat. \yr 2012 \vol 17 \issue 5 \pages 69--73 \mathnet{http://mi.mathnet.ru/fpm1434} \transl \jour J. Math. Sci. \yr 2013 \vol 193 \issue 4 \pages 526--529 \crossref{https://doi.org/10.1007/s10958-013-1479-2} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899443960}