A potential method for logical gates via anyon permutations
Zijian Song (Stony Brook)
| Fri Aug 7, 15:00-16:00 (4 days from now) | |
| Lecture held in Jefferson 368. |
Abstract: We construct explicit constant-depth local unitary circuits that realize general anyon permutations in Kitaev's quantum double models. This construction admits a natural interpretation in terms of a correspondence between anyon permutation symmetries of two-dimensional topological orders and self-dualities in one-dimensional systems. This approach also provides a practical route to implementing logical gates on topological quantum codes in constant depth.
quantum computing and informationMathematicsPhysics
Audience: researchers in the topic
Mathematical Picture Language Seminar
| Organizer: | Arthur Jaffe* |
| *contact for this listing |
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