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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 5, Pages 69–73
(Mi fpm1434)
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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.
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
Linking options:
https://www.mathnet.ru/eng/fpm1434 https://www.mathnet.ru/eng/fpm/v17/i5/p69
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Abstract page: | 336 | Full-text PDF : | 141 | References: | 34 | First page: | 2 |
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