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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

The benefit of doing things slowly: employing dissipation for the robust creation of entanglement between ions in spatially separate cavities

Martin Bodo Plenio, Dan E. Browne, Susana F. Huelga

Published May 16, 2003• 0 citations
Publisher

Abstract

We present protocol that allows the generation of a maximally entangled state between individual atoms held in spatially separate cavities. Under ideal conditions, the scheme is deterministic. In a realistic setting, when the the atom-cavity interaction may be weak, and the detectors are imperfect, we show that the scheme is robust against experimental inefficiencies and yields probabilistic entanglement of very high fidelity.

DOI
10.1117/12.504778

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We present protocol that allows the generation of a maximally entangled state between individual atoms held in spatially separate cavities. Under ideal conditions, the scheme is deterministic. In a realistic setting, when the the atom-cavity interaction may be weak, and the detectors are imperfect, we show that the scheme is robust against experimental inefficiencies and yields probabilistic entanglement of very high fidelity.
We present a protocol that allows the generation of a maximally entangled state between individual atoms held in spatially separate cavities. Assuming perfect detectors and neglecting spontaneous emission from the atoms, the resulting idealized scheme is deterministic. Under more realistic conditions, when the atom-cavity interaction departs from the strong coupling regime, and considering imperfect detectors, we show that the scheme is robust against experimental inefficiencies and yields probabilistic entanglement of very high fidelity.
We propose a scheme for generation of maximally entangled states involving internal electronic degrees of freedom of two distant trapped ions, each of them located in a cavity. This is achieved by using a single flying atom to distribute entanglement. For certain specific interaction times, the proposed scheme leads to the non-probabilistic generation of a perfect Bell-type state. At the end of the protocol, the flying atom completely disentangles from the rest of the system, leaving both ions in a Bell-type state. Moreover, the scheme is insensitive to the cavity field state and cavity losses. We also address the situation in which dephasing and dissipation must be taken into account for the flying atom on its way from one cavity to the other, and discuss the applicability of the resulting noisy channel for performing quantum teleportation.
Current methods of preparing maximally entangled states in the laboratory need an extremely accurate control of interaction times, requiring sophisticated experimental techniques. Here, we show that such precise control is not necessary when one utilizes short or weak interactions followed by measurements. We present a scheme for the probabilistic generation of Bell states in a pair of cavities, after each has interacted briefly with an atom. The advantage of the scheme, as compared to present schemes, is its low sensitivity to the exact values of experimental parameters such as atomic velocity and coupling strength, in fact, for a large range of parameters, the fidelity of the Bell states generated remains close to unity.
A scheme is presented for generating entangled states of multiple atoms in a cavity. In the scheme the atoms simultaneously interact with a cavity mode, with the first atom driven by two classical fields and the other atoms driven by a classical field. Our scheme is valid even if the cavity decay rate is larger than the effective coupling strength, which is important for experiment. The generation of entangled states is conditional on the detection of a photon decaying from the cavity and thus the fidelity of the entangled state is insensitive to the detection inefficiency. Furthermore, the scheme can be applied to the case with any number of atoms in principle.
We propose a potentially practical scheme to generate two-atom maximally entangled states by the large-detuning interaction between two three-level Λ-type atoms and coherent optical fields. Conditioned on the results of detecting cavity field, four pairs of atomic maximally entangled states with unity fidelity and high successful probability can be prepared. We also investigate the influence of the cavity dissipation on the generated entangled states and discuss the experimental feasibility of our scheme.