2001/01/31 by Xiang‐Bin Wang, Wang Xiang-Bin, Matsumoto Keiji · 1 citation
Chemistry · Computer Science · Physics and Astronomy · #Advanced NMR Techniques and Applications #Molecular spectroscopy and chirality #Quantum Computing Algorithms and Architecture #quant-ph
paper · pdf · doi:10.1103/physrevlett.87.097901
published as Phys Rev. Lett. 87, 097901(2001) and (E)Phys. Rev. Lett. 88, 179901(2002) · 15 pages, 4 figures. This is a tighten combination of PRL, 87, 097901 and its eratum, 88, 179901
openalex publication_date 2001/08/08 · arxiv created 2002/08/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
A conditional geometric phase shift gate, which is fault tolerant to certain types of errors due to its geometric nature, was realized recently via nuclear magnetic resonance (NMR) under adiabatic conditions. However, in quantum computation, everything must be completed within the decoherence time. The adiabatic condition makes any fast conditional Berry phase (cyclic adiabatic geometric phase) shift gate impossible. Here we show that by using a newly designed sequence of simple operations with an additional vertical magnetic field, the conditional geometric phase shift gate can be run nonadiabatically. Therefore geometric quantum computation can be done at the same rate as usual quantum computation.