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Brève histoire de l’intrication quantique depuis Euler – (Grzegorz Rajchel-Mieldzioć / Seminar / LPT). – 22/11/2022

22 November 2022; 14h00 - 15h30

Grzegorz Rajchel-Mieldzioć (ICFO Barcelone)

The negative solution to the famous problem of 36 officers of Euler implies that there are no two orthogonal Latin squares of order six. We show that the problem has a solution, provided the officers can be entangled and construct two quantum orthogonal Latin squares of this size. In other words, we found an Absolutely Maximally Entangled state AME(4,6) for four subsystems with six levels each, equivalently a 2-unitary matrix U of size 36 which maximizes the entangling power among all bi-partite unitary gates of this dimension, or a perfect tensor Tijkℓ with four indices, each running from one to six, or pure non-additive quantum error correction code ((4, 1, 3))_6.



22 November 2022
14h00 - 15h30
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salle de séminaire 3ème étage
Bâtiment 3r1 Université Toulouse III
Toulouse, 31400 France


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