2001/10/31 by A. E. Margolin, A.E. Margolin, V. I. Strazhev +2 · 1 citation
Computer Science · Physics and Astronomy · #Abelian group #Adiabatic process #Classical mechanics #Gauge theory #Geometric phase #Holonomic #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Spin (aerodynamics) #quant-ph
paper · pdf · doi:10.1016/s0375-9601(03)00677-7
published as Physics Letters A312 (2003) 296-300 · 6 pages
openalex publication_date 2003/05/13 · arxiv created 2004/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Non-adiabatic non-Abelian geometric phase of spin-3/2 system in the rotating magnetic field is considered. Explicit expression for the corresponding effective non-Abelian gauge potential is obtained. This formula can be used for construction of quantum gates in quantum computations.