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Optics Communications

Influence of statistics on decoherence and quantum Zeno dynamics

Ulrike Herzog

Published May 1, 2000• 1 citation
Publisher
DOI
10.1016/s0030-4018(99)00628-8

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ABSTRACT Bell state and W state are not just common entangled states, they are foundational resources in the field of quantum information. In this scheme, a Rydberg atomic ensemble with a four‐level “”‐shaped structure is confined within a Rydberg blockade sphere to form a superatom. Exploiting the unique advantages of the weak cavity field limit, the quantum information can be encoded with reliability on the superatom's effective energy levels. By integrating the methods of quantum Zeno dynamics (QZD) and Lewis‐Riesenfeld (LR) invariants, the Bell state, three‐qubit W state, and ‐qubit W state are prepared rapidly. Furthermore, the influences exerted by decoherence factors are also factored in. Numerical simulations confirm that the present scheme not only achieves high fidelities but also exhibits robustness against these decoherence factors. Finally, we further investigate the influences of parameter fluctuations on fidelities, and the results demonstrate that the fidelities of the proposed scheme remain robust against parameter fluctuations.
A scheme is proposed for the generation of a three-dimensional entangled state for two atoms trapped in a cavity via quantum Zeno dynamics. Because the scheme is based on the resonant interaction, the time required to produce entanglement is very short compared with the dispersive protocols. We show that the resulting effective dynamics allows for the creation of robust qutrit-qutrit entanglement. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is investigated. Numerical results show that the scheme is robust against the cavity decay since the evolution of the system is restricted to a subspace with null-excitation cavity fields. Furthermore, the present scheme has been generalized to realize NNN-dimensional entanglement for two atoms.