The Veldkamp Space of Two-Qubits

Details The Veldkamp Space of Two-Qubits The Veldkamp Space of Two-Qubits

2007-04-04

arxiv.org/abs/0704.0495v3

SIGMA 3 (2007) 075, 7 pages

Physics

Quantum Physics

7 pages, 3 figures, 2 tables; Version 2 - math nomenclature fine-tuned and two references added; Version 3 - published in SIGM

Scientific paper

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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