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Basically nothing has been written about quantum gates for qutrits AFAIK, but some other gates are possible to deduce for qutrits..
Some CNOT analogs for qutrits:
maps the target 0 → 1, 1 → 0, 2 → 2, if control is 2.
maps the target 0 → 2, 1 → 1, 2 → 0, if control is 2.
maps the target 0 → 0, 1 → 2, 2 → 1, if control is 2.
That flips the target qutrit in various ways only if the control qutrit is . Similar gates where the control has to be should also exist.
Any CNOT gate together with the rotation operators and the global phase shift gate should form a universal set of quantum gates for qutrits.
I thought about writing about this in the article. But maybe extrapolation is not good enough, without sources. Besides, it is maybe too much? · · · Omnissiahs hierophant (talk) 21:17, 14 December 2021 (UTC)[reply]