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arXiv:quant-ph/0302185 · Physical Review Letters

Robust Creation of Entanglement between Ions in Spatially Separate Cavities

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

Published Aug 4, 2003• 234 citations
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Abstract

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.

DOI
10.1103/physrevlett.91.067901

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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.
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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.
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.
Based on the dispersive atom–field interaction, a scheme is proposed for deterministically generating entanglement between two Λ-type atoms, which are trapped individually in two spatially separated cavities coupled by an optical fibre. In the present scheme, it is found that the atomic spontaneous decay and photon leakage out of the fibre can be efficiently suppressed via choosing appropriately the frequency detuning of atom–field and the coupling intensity of cavity–fibre, respectively. The influence of photon leakage out of the cavities is also discussed, and the strictly numerical simulation shows that our proposal is good enough to demonstrate the generation of entanglement between two distant atoms with high fidelity.
A scheme is presented for generating entangled states for two atoms in a cavity. In the scheme two atoms simultaneously interact with a cavity mode with a small detuning. The operation time is very short and thus the decoherence can be effectively suppressed. Furthermore, the scheme is valid no matter whether the two atoms have the same coupling strengths or not. The scheme can be used to generate multi-atom W states without the requirement of individual addressing of the atoms, which is also experimentally important. The scheme can also be generalized to produce entangled states in an ion trap without individually addressing the ions.