Author(s)

G. V. López, P. López

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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.

Decoherence; Not Gate; Controlled-Not Gates; Controlled-Controlled-Not Gate; Nuclear Spin Chain; Quantum Computer

G. López and P. López, "Study of Decoherence of Elementary Gates Implemented in a Chain of Few Nuclear Spins Quantum Computer Model," Journal of Modern Physics, Vol. 3 No. 1, 2012, pp. 85-101. doi: 10.4236/jmp.2012.31013.