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The Veldkamp Space of Two-Qubits

arXiv

Authors: Metod Saniga, Michel Planat, Petr Pracna, Hans Havlicek

Year

2007

Paper ID

50663

Status

Preprint

Abstract Read

~2 min

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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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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.0495 [2] arXiv https://arxiv.org/abs/0704.0495 [3] Publisher https://arxiv.org/abs/0704.0495

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