Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.4, pp.385-392

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.4, pp.385-392

Some Aspects of Induced Decoherence in Quantum Channels.
A. V. Kuzmin

Quantum channels depending on a number of classical control parameters are considered. Assuming stochastic fluctuations of the control parameters in small errors limit a simple linear formula is derived connecting the channel fidelity and final state purities calculated in the cases of the control errors presence and absence respectively. The result validity is demonstrated on a number of particular examples, namely, one-qubit quantum gates both holonomic and dynamical, implemented in the framework of the ion trap setup and a single qubit anisotropic depolarizing quantum channel.
Key words: Induced decoherence, quantum channel, fidelity, purity

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