Physics – Quantum Physics
Scientific paper
2001-01-09
Phys Rev. Lett. 87, 097901(2001) and (E)Phys. Rev. Lett. 88, 179901(2002)
Physics
Quantum Physics
15 pages, 4 figures. This is a tighten combination of PRL, 87, 097901 and its eratum, 88, 179901
Scientific paper
10.1103/PhysRevLett.87.097901
Conditional geometric phase shift gate, which is fault tolerate to certain errors due to its geometric property, is made by NMR technique recently under adiabatic condition. By the adiabatic requirement, the result is inexact unless the Hamiltonian changes extremely slowly in the process. However, in quantum computation, everything has to be completed within the decoherence time. High running speed of every gate in quantum computation is demanded because the power of quantum computer can be exponentially proportional to the maximum number of logic gate operation that can be taken sequentially within the decoherence time. Adiabatic condition makes any fast conditional Berry phase(cyclic adiabatic geometric phase) shift gate impossible. Here we show that by using a new designed sequence of simple operations with an additional vertical magnetic field, the conditional geometric phase shift can be done non-adiabatically. Therefore geometric quantum computation can be done in the same speed level of usual quantum computation.
Keiji Matsumoto
Xiang-bin Wang
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