TITLE:
Study of Decoherence of Elementary Gates Implemented in a Chain of Few Nuclear Spins Quantum Computer Model
AUTHORS:
G. V. López, P. López
KEYWORDS:
Decoherence; Not Gate; Controlled-Not Gates; Controlled-Controlled-Not Gate; Nuclear Spin Chain; Quantum Computer
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.1,
January
18,
2012
ABSTRACT: We study the phenomenon of decoherence during the operation of one qubit transformation, controlled-not (CNOT) and controlled-controlled-not (C2NOT) quantum gates in a quantum computer model formed by a linear chain of three nuclear spins system. We make this study with different type of environments, and we determine the associated decoherence time as a function of the dissipative parameter. We found that the dissipation parameter to get a well defined quantum gates (without significant decoherence) must be within the range of . We also study the behavior of the purity parameter for these gates and different environments and found linear or quadratic decays of this parameter depending on the type of environments.