Controlled dynamics of qubits in the presence of decoherence

Abstract

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.

9 pages, 7 figures

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Cited by in corpus (8)

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• Purification of an unpolarized spin ensemble into entangled singlet pairs
• Minimal coupling in oscillator models of quantum dissipation
• Qubit Entanglement Dephasing Dynamics Driven by a Bath of Spins
• Quantum frustration of dissipation by a spin bath
• Non-classical measurement statistics induced by a coherent spin environment
• Dynamics of a driven spin coupled to an antiferromagnetic spin bath
• Dynamical Decoupling of Qubits in Spin Bath under Periodic Quantum Control