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4 exercise(s) shown, 0 hidden
Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Find the necessary conditions for a magic basis formed by rank [math]1[/math] projections to produce a classical quantum group, via the Hopf image construction.

Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Find the necessary conditions for a magic basis formed by rank [math]1[/math] projections to produce a group dual, via the Hopf image construction.

Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Prove that the generalized Fourier matrices [math]F_G[/math] are the only ones producing a classical group, or a group dual.

Apr 22'25
[math] \newcommand{\mathds}{\mathbb}[/math]

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Learn the theory of MUB, and find a relation with the quantum permutation groups.