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      A Finite-Geometric Classification of Three-Qubit Mermin Pentagrams

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          Abstract

          Given the facts that the three-qubit symplectic polar space features three different kinds of observables and each of its labeled Fano planes acquires a definite sign, we found that there are 45 distinct types of Mermin pentagrams in this space. A key element of our classification is the fact that any context of such pentagram is associated with a unique (positive or negative) Fano plane. Several intriguing relations between the character of pentagrams' three-qubit observables and `valuedness' of associated Fano planes are pointed out. In particular, we find two distinct kinds of negative contexts and as many as four positive ones.

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          Author and article information

          Journal
          26 November 2019
          Article
          1911.11401

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          6 pages, 2 figures
          quant-ph math-ph math.CO math.MP

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