Controlled dynamics of qubits in the presence of decoherence

Details Controlled dynamics of qubits in the presence of decoherence Controlled dynamics of qubits in the presence of decoherence

2007-06-19

arxiv.org/abs/0706.2757v1

Phys. Rev. A 76, 042312 (2007)

Physics

Quantum Physics

9 pages, 7 figures

Scientific paper

10.1103/PhysRevA.76.042312

An exactly solvable model for the decoherence of one and two-qubit states interacting with a spin-bath, in the presence of a time-dependent magnetic field is studied. The magnetic field is static along $\hat{z}$ direction and oscillatory in the transverse plane. The transition probability and Rabi oscillations between the spin-states of a single qubit is shown to depend on the size of bath, the distribution of qubit-bath couplings and the initial bath polarization. In contrast to the fast Gaussian decay for short times, the polarization of the qubit shows an oscillatory power-law decay for long times. The loss of entanglement for the maximally entangled two-qubit states, can be controlled by tuning the frequency of the rotating field. The decay rates of entanglement and purity for all the Bell-states are same when the qubits are non-interacting, and different when they are interacting.

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