DOI: 10.1002/qute.70395 ISSN: 2511-9044
From Conventional to Unconventional Geometric Gates: What Can We Learn?
Wenli Zhang, Daolin Yang, Yonggang Peng, Yujun ZhengABSTRACT
Geometric quantum gates play crucial role in quantum computation, and the diffident types of geometric gates are constructed, including conventional and unconventional geometric gates. The physical natures of the conventional geometric gates with zero dynamical phase are investigated widely. In this paper, we analyze the physical natures of the unconventional geometric gates, and present the unconventional geometric gate is related with the Levi–Civita connection. We establish its physical constraint, and demonstrate the results by employing two‐level system.