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arXiv:1601.03250 · Journal of Physics B Atomic Molecular and Optical Physics

Direct conversion of a three-atom W state to a Greenberger–Horne–Zeilinger state in spatially separated cavities

Guoyuan Wang, Dongyang Wang, Wen‐Xue Cui, Hong‐Fu Wang, Ai‐Dong Zhu, Shou Zhang

Published Feb 22, 2016• 11 citations
arXivHTMLPDF

Abstract

Abstract State conversion between the Greenberger–Horne–Zeilinger (GHZ) state and the W state is a challenging open problem because these states cannot be converted to each other by just local operations and classical communication. Here we propose a cavity quantum electrodynamics method based on interference of polarized photons emitted by the atoms trapped in spatially separated optical cavities that can convert a three-atom W state to a GHZ state. We calculate the success probability and fidelity of the converted GHZ state when the cavity decay, spontaneous atomic decay and photon leakage of the cavities are taken into account for a practical system, which shows that the proposed scheme is feasible and within the reach of current experimental technology.

DOI
10.1088/0953-4075/49/6/065501

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We propose a scheme for the preparation of a spin-qubit Greenberger–Horne–Zeilinger (GHZ) state and W state by using quantum dots (QDs) in double-sided optical microcavities with the help of polarized photons. The spin-selective photon reflection from the cavity provides us a perfect way to achieve the scheme by adding some simple linear optical elements and conventional photon detectors. A numerical simulation demonstrates that a perfect scheme of the GHZ state and W state generation can be achieved in one step, and high fidelities can be realized when the side leakage and cavity loss are low, which is feasible in the weak coupling regime. Therefore, our scheme might contribute to quantum communication, quantum teleportation, and some other fields in quantum information processing.
We consider an open quantum system consisting of four atoms which are placed in a damped cavity. Through a dissipative dynamics process, a WWW state can be converted into a Greenberger-Horne-Zeilinger state with deterministic probability. In addition, the interaction time need not be controlled strictly in the dynamics process. The protocol may open up a promising perspective for quantum state conversion between different classes of entanglement and cavity quantum electrodynamics systems.
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Abstract We propose an entanglement-creation scheme in a multi-atom ensemble trapped in an optical cavity, named entanglement amplification, converting unentangled states into entangled states and amplifying less-entangled ones to maximally entangled Greenberger-Horne-Zeilinger (GHZ) states whose fidelity is logarithmically dependent on the atom number and robust against common experimental noises. The scheme starts with a multi-atom ensemble initialized in a coherent spin state. By shifting the energy of a particular Dicke state, we break the Hilbert space of the ensemble into two isolated subspaces to tear the coherent spin state into two components so that entanglement is introduced. After that, we utilize the isolated subspaces to further enhance the entanglement by coherently separating the two components. By single-particle Rabi drivings on atoms in a high-finesse optical cavity illuminated by a single-frequency light, 2000-atom GHZ states can be created with a fidelity above 80% in an experimentally achievable system, making resources of ensembles at Heisenberg limit practically available for quantum metrology.
We propose an efficient scheme for deterministic generating N-atom Greenberger–Horne–Zeilinger (GHZ) states in separate coupled cavities connected by optical fibers based on quantum Zeno dynamics only by one-step manipulation. Firstly, we discuss the generation of three-atom GHZ states in separate cavities. Then, the scheme is directly generalized to N-atom case without increasing new operations in experiment. The influence of decoherence induced by atomic spontaneous emission and the fibers and cavities losses is discussed by numerical calculation. The results show that the scheme is insensitive to the optical fibers decay due to a tiny excitation probability of the optical fibers during the operation.