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Journal Articles SIGMA Year : 2007

The Veldkamp Space of Two-Qubits

Abstract

Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, $W(2)$, it is shown that specific subsets of these operators can also be associated with the points and lines of the four-dimensional projective space over the Galois field with two elements - the so-called Veldkamp space of $W(2)$. An intriguing novelty is the recognition of (uni- and tri-centric) triads and specific pentads of the Pauli operators in addition to the "classical" subsets answering to geometric hyperplanes of $W(2)$.
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Dates and versions

hal-00139548 , version 1 (02-04-2007)
hal-00139548 , version 2 (17-04-2007)
hal-00139548 , version 3 (02-07-2007)

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Metod Saniga, Michel R. P. Planat, Petr Pracna, Hans Havlicek. The Veldkamp Space of Two-Qubits. SIGMA, 2007, 3, 075, 7 p. ⟨hal-00139548v3⟩
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