Qutrit as a probe for characterization of random telegraphic noise

The behaviors of quantum Fisher information (QFI) and quantum signal to noise ratio (QSNR) of a qutrit interacting with random telegraphic noise (RTN) are studied. Analytical relations for both quantities are obtained for the ground and first excited states of qutrit as initial states and numerical procedure is followed for the superposition of these states. Every choice of the initial state leads to considerably larger values of QFI. The ground initial state can be favorable for precise estimation of the smaller values of unknown parameter of RTN for all choices of the time of interaction. Depending on the time of interaction, the excited initial state of qutrit could do better for both smaller and larger values in the slow regime of RTN. Different choices of the initial superposition state could serve better for precise estimation purposes. Our results suggest that a qutrit may perform better than a qubit as a probe for precise estimation of unknown parameters.